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Math Help - finding another general solution

  1. #1
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    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
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  2. #2
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    xy'+y+x^2y^2=0

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

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

    You can finish that right?
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  3. #3
    Math Engineering Student
    Krizalid's Avatar
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    the equation rewrites as \frac{y'}{y^{2}}+\frac{1}{xy}+x=0, which is a Bernoulli one, so put t=\frac1y.
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