Question: Consider the initial-value problem y'' + 2y' = 4t, y(0) = 1, y' (0) = 3 Use y(t) = e rt to determine the homogeneous

Consider the initial-value problem y'' + 2y' = 4t, y(0) = 1, y' (0) = 3

Use y(t) = ert to determine the homogeneous solution yh(t) , and use the method of undetermined coefficients to determine the particular solution yp(t) . Apply the initial conditions to determine the solution y(t) of the IVP.

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