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Question number 34 and 49 We were unable to transcribe this image7.2.2 Transforms of Derivatives In...

Question:

image.pngquestion number 34 and 49
7.2.2 Transforms of Derivatives In Problems 35-44 use the Laplace transform to solve the given initial-value problem. dy 35.
We were unable to transcribe this image
7.2.2 Transforms of Derivatives In Problems 35-44 use the Laplace transform to solve the given initial-value problem. dy 35. - y = 1, y(0) = 0 dt 36.2% + y = 0, y(0) = -3 37. y' + 6y = 4, y(0) = 2 38. y' - y = 2 cos 5t, y(0) = 0 39. y" + 5y' + 4y = 0, y(0) = 1, y'(0) = 0 40. y" - 4y' = 6e - 3e", y(0) = 1, y'(0) = -1

Answers

377 To find the invense Laplace transform, by finding the Caplace transform of the function f(t)e costat-cosat . So, We have

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