Question: HW07: Problem 14 {1 point) Use the Laplace transform to sotve the following initial value problem: 1,! + y' 6y 2 0, MD) 2 10,

HW07: Problem 14 {1 point) Use the Laplace transform to sotve the following initial value problem: 1,!" + y' 6y 2 0, MD) 2 10, y'(0) = 5 (1) First, using Y for the Laplace transform of y), i.e., Y = Ef'y, nd the equation you get by taking the Laplace transform of the differential equation to obtain (2} Next solve for Y = A + B 30. 31? (3) Now write the above answer in its partial fraction form, Y = (NOTE: the order that you enter your answers matter so you must order your terms so that the rst corresponds to a. and the second to b, where a

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