# Thread: [SOLVED] Differential equations help, cannot solve

1. ## [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.

2. ## 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.

3. Originally Posted by TwistedOne151
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.