Solutions for certain classes of Riccati differential equation

Nasser Saad, Richard L Hall, Hakan Ciftci

We derive some analytic closed-form solutions for a class of Riccati equation y'(x)-λ_0(x)y(x)\pm y^2(x)=\pm s_0(x), where λ_0(x), s_0(x) are C^{\infty}-functions. We show that if…