I've been trying this problem but in both ways that i try it i get stuck. i would like to get any hints onto how to start it.

An equation: dy/dx = P(x)y^2 + Q(x)y + R(x) is called the riccati form...

If one solution, say u(x), of this is known, show that the substitution y=u+(1/v) reduces the riccati equation into a linear equation in v.

Thnak u very much!