## Question

###### Use the Laplace transform solve the follwing initial value problem:10y + 24y = 0, y(o) = -4, % (0) =(1) First; using Y for the Laplace transform of ylt), ie. Y = C(y(t)) , find the equation You get by taking the Laplace transform of the differential equation to obtain(2) Next solve for Y(3) Now write the above answerits partial fraction form, Y =(NOTE: the order that You enter your answers matter 50 You must order your terms 50 that the first corresponds -2 < 1)and the second to whereAlso not

Use the Laplace transform solve the follwing initial value problem: 10y + 24y = 0, y(o) = -4, % (0) = (1) First; using Y for the Laplace transform of ylt), ie. Y = C(y(t)) , find the equation You get by taking the Laplace transform of the differential equation to obtain (2) Next solve for Y (3) Now write the above answer its partial fraction form, Y = (NOTE: the order that You enter your answers matter 50 You must order your terms 50 that the first corresponds -2 < 1) and the second to where Also note example that (4) Finally apply the inverse Laplace transform find y(t) y(t)

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