Question: 1. Solve the Initial Value Problem by using the Laplace Transform. (Show all your calculations.) y (t) 2y' (t) 8y(t) = 0 y'(0) =

1. Solve the Initial Value Problem by using the Laplace Transform. (Show

1. Solve the Initial Value Problem by using the Laplace Transform. (Show all your calculations.) y" (t) 2y' (t) 8y(t) = 0 y'(0) = m, y"(0) = n where m and n are last two digits of your student ID number. 2. Find the Fourier Series for the periodic function (50 points) f(x) = (m + 1)x + n - x T where m and n are last two digits of your student ID number (50 points) m=4 and n=0

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