A Brief on Appication of Laplace Transforms to Initial Value

The essay studies mainly on application of Laplace transforms to initial value,and solves the problem on initial value of linear differential equation.We know the method of solving the initial value by Laplace transforms is convenient and extensive than many other methods.At first,we can transform the ordinary differential equation of original function into the algebraic equation of image function,or transform the partial differential equation into ordinary differential equation by Laplace transforms method,then solve it.