. In many physical problems the nonhomogeneous term may be specified by
Chapter 3, Problem 31(choose chapter or problem)
. In many physical problems the nonhomogeneous term may be specified by differentformulas in different time periods. As an example, determine the solution y = (t) ofy + y =t, 0 t ,et, t > ,satisfying the initial conditions y(0) = 0 and y(0) = 1. Assume that y and y are also continuousat t = . Plot the nonhomogeneous term and the solution as functions of time.Hint: First solve the initial value problem for t ; then solve for t > , determining theconstants in the latter solution from the continuity conditions at t = .
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