The Laplace transform can also be used to solve integrodifferential equations. The individual terms of the equation can be transformed using the time-differentiation and time-integration properties of the Laplace transform. (Also labeled as properties #35, #36, #37 and #32 of our Laplace transform table. In such a scenario, one must take into account the initial conditions and solve the resulting algebraic equation in the s-domain. The solution is then converted back to the time-domain by way of the inverse Laplace transform. We will demonstrate this in the following two example problems.

Continue on to example problem #1 (involving integrodifferential equations)...