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Math Help - [SOLVED] Differential equations help, cannot solve

  1. #1
    cross652
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    [SOLVED] Differential equations help, cannot solve

    dy/dx= 1/(x^2-xy)

    I have tried all the basic steps in an attempt to make it take the form of:
    separable
    exact
    homogenous
    bernoulli
    linear

    I have tried substitution with:
    y=ux
    u=x-y
    u=x^2-y

    I cannot for the life of me figure this out, thank you for any help.
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  2. #2
    Senior Member
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    Possibility

    You might try changing it from a problem to find y(x) to a problem to find x(y): if \frac{dy}{dx}=\frac{1}{x^2-xy}, then we have \frac{dx}{dy}=x^2-xy, which may be simpler to solve.

    --Kevin C.
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  3. #3
    Flow Master
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    Quote Originally Posted by TwistedOne151 View Post
    You might try changing it from a problem to find y(x) to a problem to find x(y): if \frac{dy}{dx}=\frac{1}{x^2-xy}, then we have \frac{dx}{dy}=x^2-xy, which may be simpler to solve.

    --Kevin C.
    lol! You beat me to it. Of course, it is easier ....... Hint: Bernoulli.
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