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Using the Laplace Transform to solve Integrodifferential Equations (intro)

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)...