Question: Solve the initial value problem: y'' + 2y' + 2y = delta(t-pi), with ICs y(0) = 1, y'(0)=0, and sketch of the solution. Please provide

Solve the initial value problem:

y'' + 2y' + 2y = delta(t-pi), with ICs y(0) = 1, y'(0)=0, and sketch of the solution.

Please provide detailed reasons and theories used.

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