i seem to have hit a wall with this problem. i'm not sure how to approach it.

find the general solution of

y' + y/x +xy^2 = 0

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- Feb 9th 2010, 12:06 AMjmedsyfinding another general solution
i seem to have hit a wall with this problem. i'm not sure how to approach it.

find the general solution of

y' + y/x +xy^2 = 0 - Feb 9th 2010, 03:32 AMshawsend
$\displaystyle xy'+y+x^2y^2=0$

$\displaystyle xdy+(y+(xy)^2)dx=0$

$\displaystyle xdy+ydx+(xy)^2 dx=0$

You can finish that right? - Feb 9th 2010, 04:50 AMKrizalid
the equation rewrites as $\displaystyle \frac{y'}{y^{2}}+\frac{1}{xy}+x=0,$ which is a Bernoulli one, so put $\displaystyle t=\frac1y.$