Solve:

$\displaystyle \frac{dy}{dx}= \frac{y^3}{1-2xy^2},\ \ y(0)=1$

No idea how to do this, tried various methods and came up with nothing. Any Suggestions on how to attempt this one?

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- Oct 21st 2009, 06:45 PMelectricalphysicsDifferential Questions
Solve:

$\displaystyle \frac{dy}{dx}= \frac{y^3}{1-2xy^2},\ \ y(0)=1$

No idea how to do this, tried various methods and came up with nothing. Any Suggestions on how to attempt this one? - Oct 22nd 2009, 06:14 AMJester
- Oct 22nd 2009, 07:41 AMKrizalid
or divide top and bottom by $\displaystyle y^3$ and put $\displaystyle y=tx$ to turn your equation into a separable one.

- Oct 22nd 2009, 07:58 AMelectricalphysics
- Oct 22nd 2009, 08:25 AMHallsofIvy