Consider the following initial value problem. y" + 8y' + 41y = 8(tn) + 8(t - 5m), y(0) = 1, y'(0) = 0 Find the Laplace transform of the differential equation. (Write your answer as a function of s.) L{y} = = Use the Laplace transform to solve the given initial-value problem. ])+( 1) · 2(2-1) + ( [ y(t) = = 1)-2 (²-[ t-

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Q: y(t) = y" - 7y' + 6y = et + s(t - 7) + 6(t-9), y(0) = 0, y'(0) = 0 ) + ( [ ])2(x-7)+ ( [ 1) 2(t-1

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