1st O.D.E, homogenous but with constants

[niceperson]

Homework Statement

solve: y'=(x+y-1)/(x-y-2) i.e

Homework Equations

The Attempt at a Solution

let y=vx
thus
y'=v'x+v

by substitution:

v'x+v=(1+y/x-1/x)/(1-y/x-2/x)=(1+v-1/x)/(1-v-2/x)

v'x=(1-1/x+v^2+2v/x)/(1-v-2/x)

still can't separate the variables...any ideas?

thanksx

 

[niceperson]

thanks dick does work!

 

[Dick]

Uh, are you sure? I tried it again after I posted, and realized I'd made a mistake and deleted the post so it wouldn't confuse anyone. Just double check, ok?