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Problem 3 (16 points) Find the Laplace transform for the following IVP (no need to solve!)sinx +5- x2 = y+y' y(0) =0Problem 4 Solve the

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Problem 3 (16 points) Find the Laplace transform for the following IVP (no need to solve!)sinx +5- x2 = y+y' y(0) =0Problem 4 Solve the following differential equation z"x' +z'x+z =10

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