# If you have the seperable DE

1. Sep 12, 2005

### schattenjaeger

If you have the seperable DE....

dy/dx=[x(y^2-2)]/(2x^2-6x+4)

that eventually ends up

(xdx)/(2x^2-6x+4)=dy/(y^2-1), right

'cuz that's some integration I REALLY don't feel like doing by hand, so I don't wanna do the wrong thing

2. Sep 12, 2005

### James R

That's

$$\frac{x}{2(x-2)(x-1)} dx= \frac{1}{y^2 -1}dy$$

Use partial fractions to do the left hand side, and a trig substitution on the right.