Yuexiang Wu
Abstract
Generally,the solution of Riccati equation cannot be given through elementary functions.On the known Riccati equation under the premise of special solution,by the method of the variable transformation,we transform the Riccati equation into the solvable differential equation,Furthermore,general solution is obtained.
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Generally,the solution of Riccati equation cannot be given through elementary functions.On the known Riccati equation under the premise of special solution,by the method of the variable transformation,we transform the Riccati equation into the solvable differential equation,Furthermore,general solution is obtained.
Key concepts: Riccati equation, Algebraic Riccati equation, Mathematics, Linear-quadratic regulator, Differential equation, Transformation (genetics), First-order partial differential equation, Partial differential equation