[SOLVED] Differential equations help, cannot solve

• Feb 9th 2008, 09:14 PM
cross652
[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.
• Feb 10th 2008, 12:07 AM
TwistedOne151
Possibility
You might try changing it from a problem to find y(x) to a problem to find x(y): if $\displaystyle \frac{dy}{dx}=\frac{1}{x^2-xy}$, then we have $\displaystyle \frac{dx}{dy}=x^2-xy$, which may be simpler to solve.

--Kevin C.
• Feb 10th 2008, 01:16 AM
mr fantastic
Quote:

Originally Posted by TwistedOne151
You might try changing it from a problem to find y(x) to a problem to find x(y): if $\displaystyle \frac{dy}{dx}=\frac{1}{x^2-xy}$, then we have $\displaystyle \frac{dx}{dy}=x^2-xy$, which may be simpler to solve.

--Kevin C.

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