In problem use Theorem 7.4.1 to evaluate the given Laplace transform. { t sin 3t} Theorem 7.4.1 If F(s) = {f(t)} and n = 1,

In problem use Theorem 7.4.1 to evaluate the given Laplace transform.

ℒ{ t sin 3t}

Theorem 7.4.1

If F(s) = ℒ{f(t)} and n = 1, 2, 3, . . . , then

uP ds" F(s). L{t"f(1)} = (-1)"