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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?_______

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