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Solve (x²+3xy+y²)dx- x²dy =0

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Solve (x²+3xy+y²)dx- x²dy =0

    • Posted by Riddhi Agarwal 6 years, 10 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Megha Singhal 6 years, 10 months ago

    (x^2+3xy+y^2)/x^2=dy/dx 1+3y/x+(y/x)^2=dy/dx —(1) Let y=vx Diff. w.r.t. x dy/dx,=v+xdv/dx Putting in 1st 1+3v+v^2=v+xdv/dx dv/1+3v+v^2=dx/x logx=1/√5log(v-√5/2)/(v+√5/2)+logc logx=1/√5log(2y-√5x)/(2y+√5/2)+logc

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