H.W: a) If f(t) = cos(3t) , Find L[ f"(t) ] b) Find Laplace Transform for following function: d²y dy 2- +2y =0 y (0)= 1 , y'(0) = dt2 dt c) Use the Laplace transform of the second derivative to derive L{ cos at} s2 + a? d) Evaluate L{ e-t S6ant dt}

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