No products in the cart.

If (x-y)e^ x/x-y =a,prove that y …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

If (x-y)e^ x/x-y =a,prove that y dy/dx+x =2y

Posted by Srivinayak V 6 years, 9 months ago

CBSE > Class 12 > Mathematics

1 answers

Aisha Gupta 6 years, 9 months ago

(X-Y)e^x/x-y=a ->e^x/x-y=a/x-y Taking log both side we have. Log(e^x/x-y)=Loga/x-y ->x/x-y=loga-log(x-y) Now diff both side w.r.t x x-y-(1-dy/dx)x/(x-y)²=dy/dx-1/(x-y) ->-y+xdy/dx=(x-y)(dy/dx-1) ->-y+xdy/dx=xdy/dx-ydy/dx-x+y ->-y+ydy/dx+x=y ->ydy/dx+x=2y

ANSWER

http://mycbseguide.com/examin8/

Related Questions

Project on to minimise the cost of the food, meeting the dietary requirements of the staple food of the adolescent students of your school. Task to be done 1. Make a survey of atleast 100 people to find the staple food they consume on daily basis. 2. Select two food items constituting one cereal and one pulse. 3. Find from dietician minimum requirement of protein and carbohydrates for an andolescent and also find the content of protein and carbohydrates in 1 Kg of selected cereal and pulse from the market. 4. Find the minimum cost of the selected cereal and pulse from market. 5. formulate the corresponding linear programming problem. 6. solve the problem graphically. 7. Interpret the result.

Posted by Guruansh Singh Malra 6 months, 1 week ago

CBSE > Class 12 > Mathematics

0 answers

Y= 1/2 [tan¯¹(2x/1-x²) + 2tan¯¹(1/x)

Posted by Charu Baid 11 months, 1 week ago

CBSE > Class 12 > Mathematics

0 answers

function f is defined as f(x) = {2x+2, x<2; k, x=2; 3x, x>2} find the value of k for which the function f is continuous at x=2

Posted by Krishnanjali Nigam 1 year ago

CBSE > Class 12 > Mathematics

2 answers

Three friends Ravi Raju

Posted by Sneha Pandey 1 year ago

CBSE > Class 12 > Mathematics

0 answers

What is the maximum value of sinx + cos x

Posted by Xxxxxx Xx 11 months, 1 week ago

CBSE > Class 12 > Mathematics

3 answers

Prove that tan–¹ (x+1) + tan–¹(x-1) = tan–¹ 8/31

Posted by Ananya Singh 1 year ago

CBSE > Class 12 > Mathematics

0 answers

Y=sin√ax^2+√bx+√c

Posted by Karan Kumar Mohanta 11 months, 2 weeks ago

CBSE > Class 12 > Mathematics

0 answers

Find the second order derivatives of the functions x²+3x+2

Posted by Sanjna Gupta 11 months, 1 week ago

CBSE > Class 12 > Mathematics

4 answers

Find all vectors of magnitude 10√3 that are perpendicular to the plane of i+2j+k and -i+3j+4k

Posted by Sanjay Kumar 11 months, 3 weeks ago

CBSE > Class 12 > Mathematics

0 answers

What is the maximum value of the function sin x + cosx

Posted by Xxxxxx Xx 11 months, 1 week ago

CBSE > Class 12 > Mathematics

0 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Google Play

Download myCBSEguide App