A Riccati equation is a first-order, nonlinear differential equation of the form y′ = p(x)y2 + q(x)y + r(x). There’s no general method to solve a Riccati equation. However, if a particular solution, say y1(x), is known, the equation can be transformed into a solvable linear first-order differential equation. In this chapter, we explore the solution techniques for the Riccati differential equation, focusing on cases where a particular solution is known.