{"id":4529,"date":"2016-05-16T11:49:00","date_gmt":"2016-05-16T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/"},"modified":"2018-05-07T11:15:49","modified_gmt":"2018-05-07T05:45:49","slug":"ncert-solutions-class-12-maths-exercise-9-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/","title":{"rendered":"NCERT Solutions class 12 Maths Exercise 9.1"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#NCERT_Solutions_class_12_Maths_Differential_Equations\" >NCERT Solutions class 12 Maths Differential Equations<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#2\" >2. \u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#3\" >3. \u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#4\" >4. \u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#5\" >5.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#6\" >6. \u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#8\" >8. \u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#9\" >9. \u00a0<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#NCERT_Solutions_class_12_Maths_Exercise_91\" >NCERT Solutions class 12 Maths Exercise 9.1<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#10\" >10. \u00a0<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#NCERT_Solutions_class_12_Maths_Exercise_91-2\" >NCERT Solutions class 12 Maths Exercise 9.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#11_The_degree_of_the_differential_equation_is\" >11. The degree of the differential equation \u00a0is:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#NCERT_Solutions_class_12_Maths_Exercise_91-3\" >NCERT Solutions class 12 Maths Exercise 9.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#12_The_order_of_the_differential_equation_is\" >12. The order of the differential equation \u00a0is:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#NCERT_Solutions_class_12_Maths_Exercise_91-4\" >NCERT Solutions class 12 Maths Exercise 9.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/#CBSE_App_for_Students\" >CBSE App for Students<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions class 12 Maths Exercise 9.1 Class 12 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 12 Maths chapter wise NCERT solution for Maths part 1 and Maths part 2 for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p><strong>Download\u00a0<a href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-12-mathematics-differential-equations\/1293\/ncert-solutions\/5\/\">NCERT solutions for\u00a0Differential Equations \u00a0<\/a>as PDF<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/12%20Maths%20Book%20Part-02%20.jpg\" alt=\"NCERT Solutions class 12 Maths Exercise 9.1 \" width=\"177\" height=\"227\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_class_12_Maths_Differential_Equations\"><\/span>NCERT Solutions class 12 Maths Differential Equations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Determine order and degree (if defined) of differential equations given in Questions 1 to 10:<\/strong><\/p>\n<p><strong>1. <\/strong><img decoding=\"async\" style=\"height: 44px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image001.png\" \/><strong>\u00a0<\/strong><\/p>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 44px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image001.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 44px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image002.png\" \/>\u00a0and its order is 4.<\/p>\n<p>The given differential equation is not a polynomial equation in derivatives as the term <img decoding=\"async\" style=\"height: 27px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image003.png\" \/>\u00a0is a T-function of derivative <img decoding=\"async\" style=\"height: 21px; width: 27px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image004.png\" \/>\u00a0Therefore the degree is not defined.<\/p>\n<p>Hence, order is 4 and degree is not defined.<\/p>\n<hr \/>\n<h5><span class=\"ez-toc-section\" id=\"2\"><\/span><strong>2. <\/strong><img decoding=\"async\" style=\"height: 21px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image005.png\" \/><strong>\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 21px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image005.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 41px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image006.png\" \/>\u00a0and its order is 1.<\/p>\n<p>The given differential equation is a polynomial equation in derivative<img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image007.png\" \/>\u00a0and the highest power raised to highest order derivative <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image007.png\" \/>\u00a0is one, so its degree is 1.<\/p>\n<p>Hence, order is 1 and degree is 1.<\/p>\n<hr \/>\n<h5><span class=\"ez-toc-section\" id=\"3\"><\/span><strong>3. <\/strong><img decoding=\"async\" style=\"height: 49px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image008.png\" \/><strong>\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 49px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image008.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 44px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image009.png\" \/>\u00a0and its order is 2. The given differential equation is a polynomial equation in derivatives and the highest power raised to highest order derivative <img decoding=\"async\" style=\"height: 44px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image009.png\" \/>\u00a0is one, so its degree is 1.<\/p>\n<p>Hence, order is 2 and degree is 1.<\/p>\n<hr \/>\n<h5><span class=\"ez-toc-section\" id=\"4\"><\/span><strong>4. <\/strong><img decoding=\"async\" style=\"height: 53px; width: 135px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image010.png\" \/><strong>\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 53px; width: 135px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image010.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 44px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image011.png\" \/>\u00a0and its order is 2.<\/p>\n<p>The given differential equation is not a polynomial equation in derivatives as the term <img decoding=\"async\" style=\"height: 41px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image012.png\" \/>\u00a0is a T-function of derivative <img decoding=\"async\" style=\"height: 41px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image013.png\" \/>\u00a0Therefore the degree is not defined.<\/p>\n<p>Hence, order is 2 and degree is not defined.<\/p>\n<hr \/>\n<h5><span class=\"ez-toc-section\" id=\"5\"><\/span><strong>5. <\/strong><img decoding=\"async\" style=\"height: 44px; width: 137px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image014.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 44px; width: 137px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image014.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 44px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image011.png\" \/>\u00a0and its order is 2.<\/p>\n<p>The given differential equation is a polynomial equation in derivatives and the highest power raised to highest order <img decoding=\"async\" style=\"height: 53px; width: 95px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image015.png\" \/>\u00a0is one, so its degree is 1.<\/p>\n<p>Hence, order is 2 and degree is 1.<\/p>\n<hr \/>\n<h5><span class=\"ez-toc-section\" id=\"6\"><\/span><strong>6. <\/strong><img decoding=\"async\" style=\"height: 29px; width: 191px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image016.png\" \/><strong>\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 29px; width: 191px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image016.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 21px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image017.png\" \/>\u00a0and its order is 3.<\/p>\n<p>The given differential equation is a polynomial equation in derivatives and the highest power raised to highest order <img decoding=\"async\" style=\"height: 21px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image017.png\" \/>\u00a0is two, so its degree is 2.<\/p>\n<p>Hence, order is 3 and degree is 2.<\/p>\n<hr \/>\n<p><strong>7. <\/strong><img decoding=\"async\" style=\"height: 21px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image018.png\" \/><strong>\u00a0<\/strong><\/p>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 21px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image018.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 21px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image017.png\" \/>\u00a0and its order is 3.<\/p>\n<p>The given differential equation is a polynomial equation in derivatives <img decoding=\"async\" style=\"height: 21px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image019.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image007.png\" \/>\u00a0and the highest power raised to highest order <img decoding=\"async\" style=\"height: 21px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image017.png\" \/>\u00a0is two, so its degree is 1.<\/p>\n<p>Hence, order is 3 and degree is 1.<\/p>\n<hr \/>\n<h5><span class=\"ez-toc-section\" id=\"8\"><\/span><strong>8. <\/strong><img decoding=\"async\" style=\"height: 24px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image020.png\" \/><strong>\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 24px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image020.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image007.png\" \/>\u00a0and its order is 1.<\/p>\n<p>The given differential equation is a polynomial equation in derivative <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image007.png\" \/>. It may be noted that <img decoding=\"async\" style=\"height: 21px; width: 17px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image021.png\" \/>\u00a0is an exponential function and not a polynomial function but is not an exponential function of derivatives and the highest power raised to highest order derivative <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image007.png\" \/>\u00a0is one so its degree is one.<\/p>\n<p>Hence, order is 1 and degree is 1.<\/p>\n<hr \/>\n<h5><span class=\"ez-toc-section\" id=\"9\"><\/span><strong>9. <\/strong><img decoding=\"async\" style=\"height: 29px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image022.png\" \/><strong>\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 29px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image022.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 21px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image023.png\" \/>\u00a0and its order is 2.<\/p>\n<p>The given differential equation is a polynomial equation in derivatives <img decoding=\"async\" style=\"height: 21px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image023.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image007.png\" \/>\u00a0and the highest power raised to highest order <img decoding=\"async\" style=\"height: 21px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image023.png\" \/>\u00a0is one, so its degree is 1.<\/p>\n<p>Hence, order is 2 and degree is 1.<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"NCERT_Solutions_class_12_Maths_Exercise_91\"><\/span>NCERT Solutions class 12 Maths Exercise 9.1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h5><span class=\"ez-toc-section\" id=\"10\"><\/span><strong>10. <\/strong><img decoding=\"async\" style=\"height: 21px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image024.png\" \/><strong>\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 21px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image024.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 21px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image023.png\" \/>\u00a0and its order is 2.<\/p>\n<p>The given differential equation is a polynomial equation in derivative <img decoding=\"async\" style=\"height: 21px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image023.png\" \/>\u00a0and <img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image007.png\" \/>. It may be noted that <img decoding=\"async\" style=\"height: 21px; width: 35px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image025.png\" \/>\u00a0is not a polynomial function of <img decoding=\"async\" style=\"height: 17px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image026.png\" \/>, it is a T-function of <img decoding=\"async\" style=\"height: 17px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image026.png\" \/>\u00a0but is not a T-function of derivatives and the highest power raised to highest order derivative <img decoding=\"async\" style=\"height: 21px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image023.png\" \/>\u00a0is one so its degree is one.<\/p>\n<p>Hence, order is 2 and degree is 1.<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"NCERT_Solutions_class_12_Maths_Exercise_91-2\"><\/span>NCERT Solutions class 12 Maths Exercise 9.1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"11_The_degree_of_the_differential_equation_is\"><\/span><strong>11. The degree of the differential equation <\/strong><img decoding=\"async\" style=\"height: 53px; width: 221px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image027.png\" \/><strong>\u00a0is:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>(A) 3 <\/strong><\/p>\n<p><strong>(B) 2 <\/strong><\/p>\n<p><strong>(C) 1 <\/strong><\/p>\n<p><strong>(D) Not defined<\/strong><\/p>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 53px; width: 221px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image027.png\" \/>\u00a0\u2026\u2026\u2026.(i)<\/p>\n<p>This equation is not a polynomial in derivatives as <img decoding=\"async\" style=\"height: 45px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image028.png\" \/>\u00a0is a T-function of derivative <img decoding=\"async\" style=\"height: 41px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image013.png\" \/><\/p>\n<p>Therefore, degree of given equation is not defined.<\/p>\n<p>Hence, option (D) is correct.<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"NCERT_Solutions_class_12_Maths_Exercise_91-3\"><\/span>NCERT Solutions class 12 Maths Exercise 9.1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"12_The_order_of_the_differential_equation_is\"><\/span><strong>12. The order of the differential equation <\/strong><img decoding=\"async\" style=\"height: 44px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image029.png\" \/><strong>\u00a0is:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>(A) 2 <\/strong><\/p>\n<p><strong>(B) 1 <\/strong><\/p>\n<p><strong>(C) 0 <\/strong><\/p>\n<p><strong>(D) Not defined<\/strong><\/p>\n<p><strong>Ans. <\/strong>Given: <img decoding=\"async\" style=\"height: 44px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image029.png\" \/><\/p>\n<p>The highest order derivative present in the differential equation is <img decoding=\"async\" style=\"height: 44px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/12\/maths\/Ex9.1\/image011.png\" \/>\u00a0and its order is 2.<\/p>\n<p>Therefore, option (A) is correct.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_class_12_Maths_Exercise_91-4\"><\/span>NCERT Solutions class 12 Maths Exercise 9.1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 12 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 12 Maths includes text book solutions from both part 1 and part 2. NCERT Solutions for CBSE Class 12 Maths have total 20 chapters. 12 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 12 solutions PDF and Maths ncert class 12 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_App_for_Students\"><\/span>CBSE App for Students<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download\u00a0NCERT Solutions for class 12 Physics, Chemistry, Biology, History, Political Science, Economics, Geography, Computer Science, Home Science, Accountancy, Business Studies and Home Science; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions class 12 Maths Exercise 9.1 Class 12 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 12 &#8230; <a title=\"NCERT Solutions class 12 Maths Exercise 9.1\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-12-maths-exercise-9-1\/\" aria-label=\"More on NCERT Solutions class 12 Maths Exercise 9.1\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1432,281],"tags":[283,1342,321,216],"class_list":["post-4529","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-12","category-ncert-solutions","tag-cbse-study-material","tag-class-12","tag-mathematics","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions class 12 Maths Exercise 9.1 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions class 12 Maths Exercise 9.1 in PDF format for free download. 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