Solve the following differential equatio...

Solve the following differential equations: `(x^2+3x y+y^2^)dx-x^2dy=0`

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The correct Answer is:

`log|x|=x/(y+x)=C`

`x(dv)/(dx)=(1+2v+v^(2))=(v+1)^(2) rArr int(dv)/(v+1)^(2)=int 1/x dx rArr log|x|-1/(v+1)=C`

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