Question

Use Theorem 7.4.1. THEOREM 7.4.1  Derivatives of Transforms If F(s) = ℒ{f(t)} and n = 1, 2,...

Use Theorem 7.4.1.

THEOREM 7.4.1  Derivatives of Transforms
If

F(s) = ℒ{f(t)}

and

n = 1, 2, 3, . . . ,

thenℒ{tnf(t)} = (−1)n

dn
dsn

F(s).

Evaluate the given Laplace transform. (Write your answer as a function of s.)

ℒ{te2t sin 7t}

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