Question: 1. Consider the second-order differential equation y + 4y' + 4y = f(t) . (a) (5 pts) Find the homogeneous solution. (b) (10 pts) Find

1. Consider the second-order differential equation y" + 4y' + 4y = f(t) . (a) (5 pts) Find the homogeneous solution. (b) (10 pts) Find the particular solution for f(t) = t-2e-2t with t > 0. (c) (5 pts) Find the form of the particular solution for f(t) = the-2t + 403t - 6te2t sint using the method of undetermined coefficients. No need to find the coefficients

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