Question: Use the Laplace transform to solve the following initial value problem: y + 5y' - 24y = 0 y(0) = -1, y'(0) = -4 a.

Use the Laplace transform to solve the following initial value problem: y" + 5y' - 24y = 0 y(0) = -1, y'(0) = -4 a. First, using Y for the Laplace transform of y(t), i.e., Y = [ty(t)}, find the equation you get by taking the Laplace transform of the differential equation $ 2Y+ 1s+4+5sY+5-25Y = 0 b. Now solve for Y(s) = c. Write the above answer in its partial fraction decomposition, Y(s) = A + - sta 3+6 Where a

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