Question

I. Find the Laplace transform of the following functions: 1) f(t) = 3t + e^-4t 2) f(t) = cosh 3t + 2 sin 5t 3) f(t) = 2e^t cos 2t 4) f(t) = t^2 sinh t 5) f(t) = 2t^3 e^5t

          I. Find the Laplace transform of the following functions:
1) f(t) = 3t + e^-4t

2) f(t) = cosh 3t + 2 sin 5t

3) f(t) = 2e^t cos 2t

4) f(t) = t^2 sinh t

5) f(t) = 2t^3 e^5t

Added by Jamie G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

07/10/2023

Step 1

1) Using the formula for the Laplace transform of t, we have: L{3t} = 3 L{t} = 3/s^2 2) Using the formula for the Laplace transform of cosh and sin, we have: L{cosh 3t} = s/(s^2 - 9) L{2 sin St} = 2S/(s^2 + S^2) Show more…

Show all steps

Thanks for your feedback!

Find the Laplace transform of the following functions: 1) f(t) = 3t + e^-4t 2) f(t) = cosh 3t + 2 sin 5t 3) f(t) = 2e^t cos 2t 4) f(t) = t^2 sinh t 5) f(t) = 2t^3 e^5t