Let [math]

  1. Solve the initial value problem [math] using the technique of integrating factors. (Do not use Laplace transforms.)

    [math]

  2. Use Laplace transforms to determine the transfer function [math] given the initial value problem [math]
    [math]

  3. Evaluate the convolution integral [math], and compare the resulting function with the solution obtained in part (a).

    [math] [math]