拉普拉斯变换法在求解微分方程中的应用

Application of Laplasse transform method in the solution of differential equation

变换方法是指把待解决或未解决的问题通过某种转化过程,归结到一类已经能解决或者比较容易解决的问题中去,最终获得原问题的解答的一种手段和方法,它在数学领域中有着广泛的应用。本文从拉普拉斯变换角度,研究变换思想在常微分方程中的实际应用。即:利用拉普拉斯变换,将线性偏微分方程转换为代数方程、常微分方程然后求解。

Transform method refers to be resolved or unresolved problem through a transformation process,attributed to a class of already can solve or relatively easy to solve the problem,finally obtains the solution of original problem in the field of mathematics,it is widely used.In this paper,from the angle of the practical application of Laplasse transform,transform ideas in ordinary differential equations.Namely: the use of the Laplasse transform,the linear partial differential equations into algebraic equations,ordinary differential equation and then solving.