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