Consider the following initial value problem. y" + 10y' + 29y = 8(t = n) + 8(t - 7π), y(0) = 1, y'(0) = 0 Find the Laplace transform of the differential equation. (Write your answer as a function of s.) -7AS TTS e + e + s +1 L{y} = (s²+10s +29) Use the Laplace transform to solve the given initial-value problem. t- ) + ( [ y(t) = 1) · (² – π7) + ( [

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