2010•Journal of Nantong Vocational CollegeRequires access

Some Studies on Solving the Second-order Linear Ordinary Differential Equation with Variable Coefficients

Ting Zhang

Abstract

Solutions of three kinds of second-order linear ordinary differential equations with variable coefficients are studied by using the method of variation of constant,the critical conditions for solving the equation and the corresponding general solution formulas are given,thus a new approach for solving the linear ordinary differential equation with variable coefficients is provided.

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Key concepts: Mathematics, Ordinary differential equation, Linear differential equation, Variable (mathematics), Constant coefficients, Variation of parameters, Mathematical analysis, Homogeneous differential equation