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Thread: finding another general solution

  1. February 9th 2010, 12:06 AM #1
    jmedsy
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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. February 9th 2010, 03:32 AM #2
    shawsend
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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. February 9th 2010, 04:50 AM #3
    Krizalid
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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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