Consider the initial value problemy+ y = f(t), y(0) = 0,
Chapter 6, Problem 19(choose chapter or problem)
Consider the initial value problemy+ y = f(t), y(0) = 0, y(0) = 0,wheref(t) = u0(t) + 2nk=1(1)kuk(t).(a) Draw the graph of f(t) on an interval such as 0 t 6.(b) Find the solution of the initial value problem.(c) Let n = 15 and plot the graph of the solution for 0 t 60. Describe the solutionand explain why it behaves as it does.(d) Investigate how the solution changes as n increases. What happens as n ?
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