2012•Journal of Henan Institute of EducationRequires access

Application of Transformation Thought in Ordinary Differential Equation Teaching

Zheng Qun-zhen

Abstract

The transformation thought in ordinary differential equation is overall summarized by analyzing the solutions of ordinary differential equations(systems) and the proof of the theorem of existence and uniqueness of the solution of first-order ordinary differential equation.The importance of emphasizing the transformation thought in the ordinary differential equation teaching is also discussed.

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Key concepts: Ordinary differential equation, Bernoulli differential equation, Exact differential equation, Mathematics, Integrating factor, Separable partial differential equation, Riccati equation, Differential equation