The Formula of General Solution to Second Order Linear Differential Equation with Variable Coefficients
Yuan An-feng
Abstract
Yuan An-feng
Abstract
In order to obtain more general solution to second order linear differential equation with variable coefficients which is important in theory and practice,on the basis of knowing a special solution of the second order linear differential equation with variable coefficients and by using the method of variation of constant,the second order linear differential equation with variable coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with variable coefficients is derived.Examples are given to verify the method.
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In order to obtain more general solution to second order linear differential equation with variable coefficients which is important in theory and practice,on the basis of knowing a special solution of the second order linear differential equation with variable coefficients and by using the method of variation of constant,the second order linear differential equation with variable coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with variable coefficients is derived.Examples are given to verify the method.
Key concepts: Mathematics, Linear differential equation, Homogeneous differential equation, Differential equation, Variable (mathematics), First-order partial differential equation, Mathematical analysis, Universal differential equation