Consider the following initial-value problem. y'' - 3y' = 8e^2t - 2e^-t, y(0) = 1, y'(0) = -1 Find L{f(t)}, for f(t) = 8e^2t - 2e^-t. (Write your answer as a function of s.) L(f(t)) = Use the Laplace transform to solve the given initial-value problem. y(t) =
Image text
Consider the following initial-value problem. y'' - 3y' = 8e^2t - 2e^-t, y(0) = 1, y'(0) = -1 Find L{f(t)}, for f(t) = 8e^2t - 2e^-t. (Write your answer as a function of s.) L(f(t)) = Use the Laplace transform to solve the given initial-value problem. y(t) =
