hi all,

i have this differential equation to solve...

i know it is homogeneous, so i can put $\displaystyle z = \frac{y}{x}$

but i still can't solve this...

$\displaystyle y` = \frac{x^2-xy+y^2}{x^2}$

i get to:

$\displaystyle z`x + z = 1 - z + z^2$

where do i go from here?

thanks