Question

Determine the Inverse Laplace Transform for the following function f(t) = L^{-1} {frac{6}{s-3} + frac{4}{s^2+4}} Answer: A. 3e^{6t} + 4 sin(2t) B. 6e^{3t} + 4 cos(2t) C. 6e^{3t} + 2 sin(2t) D. 6e^{-3t} + 4 sin(2t)

          Determine the Inverse Laplace Transform for the following function

f(t) = L^{-1} {frac{6}{s-3} + frac{4}{s^2+4}}

Answer:

A. 3e^{6t} + 4 sin(2t)
B. 6e^{3t} + 4 cos(2t)
C. 6e^{3t} + 2 sin(2t)
D. 6e^{-3t} + 4 sin(2t)

$Determine the Inverse Laplace Transform for the following function f(t) = L^-1 frac6s-3 + frac4s^2+4 Answer: A. 3e^6t + 4 sin(2t) B. 6e^3t + 4 cos(2t) C. 6e^3t + 2 sin(2t) D. 6e^-3t + 4 sin(2t)$

Added by Kim B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Avinash Vishwakarma

03/27/2022

Step 1

Step 1: Use the linearity property of the inverse Laplace transform to split the function into two parts: -6e^(-3t) and (5-3√2+4). Show more…

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Determine the Inverse Laplace Transform for the following function f(t) = L^{-1}{6/(s-3) + 4/(s^2+4)} Answer: A. 3e^{6t} + 4sin(2t) B. 6e^{3t} + 4cos(2t) C. 6e^{3t} + 2sin(2t) D. 6e^{-3t} + 4sin(2t)