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(X^2+y^2)dx+3xydy=0

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(X^2+y^2)dx+3xydy=0

    • Posted by Leo Arockiasamy 5 years, 10 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Dolly ?️ 5 years, 10 months ago

    dy/dx= -{x²-y²}/3xy Now, let y = vx Therefore,dy/dx= x.dv/dx+v X.dv/dx+ v = (1-v²)/3v = x.dv/dx= (1-v²-3v²)/3v X.dv/dx = (1-4v²)/3v = 3v/(1-4v²).dv=1/x.dx Now integrat both side -3/8.log(1-4v²)= logx+ logc (X²-4y²)/x¹⁴÷ ³= C

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