Abstract:

ESDU 69025 presents a working scheme for solving ordinary linear differential equations with constant coefficients by means of the Laplace transform. The merit of the method lies in the fact that the application of the transform reduces such an equation to a simple algebraic one from which the required solution is found by reference to tables of transforms. Thus with its use the only mathematical knowledge required to solve an ordinary linear differential equation with constant coefficients is the manipulation of algebraic equations. The method includes, as a matter of course, the initial conditions.