Use the Laplace transform to solve:

y''+ 4y'+ 8y = f(t); y(0) = 0; y'(0) = 0,

f(t) = {0, 0 <= t <= 3

{8, 3<t

y''+ 4y'+ 8y = f(t); y(0) = 0; y'(0) = 0,

f(t) = {0, 0 <= t <= 3

{8, 3<t

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