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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$\displaystyle xy'+y+x^2y^2=0$ $\displaystyle xdy+(y+(xy)^2)dx=0$ $\displaystyle xdy+ydx+(xy)^2 dx=0$ You can finish that right?
the equation rewrites as $\displaystyle \frac{y'}{y^{2}}+\frac{1}{xy}+x=0,$ which is a Bernoulli one, so put $\displaystyle t=\frac1y.$
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