Question: Question V y ty = f(t), y(0) =0, f(t) = cos(t) 1 Ost 2x (a) Find the Laplace transform of f(t). Using Laplace transforms, solve

Question V y ty = f(t), y(0) =0, f(t) = cos(t) 1 Ost 2x (a) Find the Laplace transform of f(t). Using Laplace transforms, solve the differential equation. Hint: The following partial fractions may be helpful: S s+1 1 ($2 + 1) (s + 1) $2 + 1 s+1 s(s + 1) S s +1

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