(a) Find the Laplace transform of $\frac{1 - \cos at}{t}$. (b) Find t…

Question

(a) Find the Laplace transform of $\frac{1 - \cos at}{t}$.

(b) Find the inverse Laplace transform of $\frac{s - 4}{(s - 4)^2 + 9}$.

(c) Using Laplace transform, find the solution of the initial value problem $y'' + 25y = 10 \cos 5t, y(0) = 2, y'(0) = 0$.

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