# finding another general solution

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• Feb 9th 2010, 12:06 AM
jmedsy
finding 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 AM
shawsend
$xy'+y+x^2y^2=0$

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

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

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