2009College MathematicsRequires access

The Relation between the Various Coefficient Linear Differential Equation of Order 2 and Riccati Equation

Jin‐Song Hu

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Abstract

The intrinsic relation between the various coefficient linear differential equation of order 2 and Riccati equation is presented. It proves that the solvents of them can be transformed each other and provides more ideas and ways for solving the various coefficient linear differential equation of order 2 and Riccati equation.

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What this paper is about

The intrinsic relation between the various coefficient linear differential equation of order 2 and Riccati equation is presented. It proves that the solvents of them can be transformed each other and provides more ideas and ways for solving the various coefficient linear differential equation of order 2 and Riccati equation.

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Available abstract

The intrinsic relation between the various coefficient linear differential equation of order 2 and Riccati equation is presented. It proves that the solvents of them can be transformed each other and provides more ideas and ways for solving the various coefficient linear differential equation of order 2 and Riccati equation.

Key concepts: Riccati equation, Mathematics, Algebraic Riccati equation, Linear differential equation, Differential equation, Homogeneous differential equation, First-order partial differential equation, Mathematical analysis

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