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Question: problem no 4 25 points laplace transform 1 based on...

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Problem No. 4 (25 points): Laplace Transform 1) Based on the linearity property of Laplace Transform, find out the Laplace Transform of the following function: 3-8(0) +4 cos(40t) +5t +6t. (10 points) 2) For a third-order differential equation y() +2y) +3)y() 2 +1 with the initial condition y(0)-1, 0)-2, (0)-3, please find the Laplace transform of the left-hand side and the Laplace transform of the right-hand side, respectively. (15 points) Problem No. 5 (15 points): Inverse Laplace Transform a) Fo) 2++3 36 4s (8 points) s+3 +36 b) H(s) s+6,5 (7 points) e閒
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