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Find Laplace Transform of the initial value problems: (a) y'' + 9y = 2 sin(5t) ,...

Find Laplace Transform of the initial value problems:

(a) y'' + 9y = 2 sin(5t) , where y(0) = 1 and y'(0) = 0

(b) y'' + 6y = 0 , where y(0) = 1 and y'(0)=3

(c) y' + 3y = est , where y(0) = 1

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