`2xydx+(x^(2)+2y^(2))dy=0` – InterviewSolution

InterviewSolution

1.	`2xydx+(x^(2)+2y^(2))dy=0`
Answer» Correct Answer - `3x^(2)y+2y^(3)=C` `x(dv)/(dx) = -(3v+2v^(3))(1+2v^(2)) rArr int(1+2v^(2))/(3v+2v^(3))dv+int(dx)/(x)=log\|C_(1)\|`. `therefore 1/3int(3+6v^(2))/(3v+2v^(3))dv+log\|x\|=log\|C_(1)\|` `rArr log\|3v+2v^(3)\|+log\|x^(3)\|=log\|C_(1)^(3)\|`.

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