Problem 5. For each of the following problems, 1. Sketch the graph of the forcing function on the appropriate interval (Desmos is great) 2. Find the solution of the initial value problem. 3. Plot the solution. 4. Explain how the graph of forcing function and the graph of the solution are related. Note: these are problems $6.4 #1 and $6.4 #3 in our textbook. 1, (a) y" + y = f(t), y(0) = 0, y'(0) = 1; where f(t) = 0≤t<3π 3π t∞ (b) y"+4y=sin(t) - u2 (t) sin(t - 2π);, y(0) = 0, y'(0) = 0

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