2009•Journal of Kashgar Teachers CollegeRequires access

A Solvable Type of Fourth Order Linear Differential Equation with Variable Coefficients

HU Ai-lian

Abstract

A kind of linear differential equation with variable coefficients is turned into fourth order constant coefficient linear differential equation with self-variable transformation of unknown function,and then a new solvable type of fourth order linear differential equation with variable coefficients is obtained.Thus,the famous fourth order Euler equation is expanded.

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Key concepts: Mathematics, Linear differential equation, Homogeneous differential equation, Constant coefficients, Variable (mathematics), Mathematical analysis, Differential equation, First-order partial differential equation