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Find the Laplace transform of the function. (a) f(t) = 2H3 (t) -2H4 (t) (b) f(t)...

Find the Laplace transform of the function.

(a) f(t) = 2H3 (t) -2H4 (t)

(b) f(t) = t2H3 (t)

(c) Solve x'= -x + H1 (t) - H2 (t), x(0) = 1

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