# solution to Riccati differential equation

I recently bumped into the following differential equation $$zA'(z)=(a_2 z+b_2)A^2(z)+(a_1 z+b_1)A(z)+a_0 z+b_0$$ In my case the terms $$a_i$$ and $$b_i$$ are negative real constants, except for $$b_1>0$$. Dividing through by $$z$$ the above becomes a Riccati equation, but this didn't help me in getting a solution. Any suggestion?_______