Question: Problem # 5: Let y(t) be the solution to the following initial value problem. y 15y' + 54y = t3e4', y(0) = 1, y'(0) =

Problem # 5: Let y(t) be the solution to the following initial value problem. y" 15y' + 54y = t3e4', y(0) = 1, y'(0) = 1 Find Y(s), the Laplace transform of y(t). Enter your answer as a symbolic Problem #5: |:| function of s, as in these examples Problem #7: Consider the functions f(t) = e and g(t) = e- defined on 0 s t

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