Is there an easy way to solve the ODE

$\displaystyle

\dfrac{dy}{dx} = \dfrac{2y^3\left(x-y-xy\right)}{x\left(x-y)^2}

$ ?

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- Jan 9th 2011, 08:17 AMJesterAn ode
Is there an easy way to solve the ODE

$\displaystyle

\dfrac{dy}{dx} = \dfrac{2y^3\left(x-y-xy\right)}{x\left(x-y)^2}

$ ? - Jan 9th 2011, 02:20 PMdwsmith
I have a dumb answer, Mathematica, MatLab, or Maple.

- Jan 9th 2011, 03:09 PMJester
I don't know about Mathematica or Matlab but Maple readily spits out the answer. I was really looking for a non-CAS method.

- Jan 9th 2011, 03:10 PMdwsmith
- Jan 10th 2011, 02:43 PMcarrot
- Jan 10th 2011, 03:45 PMJester
Please allow me to ask the motivation for such a substitution?