Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Find the inverse Laplace Transform of s-7 s²+2s+5 2e-t cos(2t) + e-t sin(2t) 4e-t cos(2t) – e-t sin(2t) O 4e -t O et cos(2t) + 2e-¹ sin(2t) O 2e-t cos(2t) - e-t sin(2t) O et cos (2t) - 4e-* sin(2t)

Find the inverse Laplace Transform of s-7 s²+2s+5 2e-t cos(2t) + e-t sin(2t) 4e-t cos(2t) – e-t sin(2t) O 4e -t O et cos(2t) + 2e-¹ sin(2t) O 2e-t cos(2t) - e-t sin(2t) O et cos (2t) - 4e-* sin(2t)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 41E
See similar textbooks
Question
100%
**Problem Statement:** Find the inverse Laplace Transform of \[ \frac{s-7}{s^2+2s+5} \] **Answer Choices:** 1. \( 2e^{-t} \cos(2t) + e^{-t} \sin(2t) \) 2. \( 4e^{-t} \cos(2t) - e^{-t} \sin(2t) \) 3. \( e^{-t} \cos(2t) + 2e^{-t} \sin(2t) \) 4. \( 2e^{-t} \cos(2t) - e^{-t} \sin(2t) \) 5. \( e^{-t} \cos(2t) - 4e^{-t} \sin(2t) \) **Description:** This problem asks you to determine the inverse Laplace transform of a given rational expression. The expression provided is typically associated with second-order linear differential equations. Each answer choice represents a potential time-domain function. The goal is to apply Laplace transform techniques and match the correct inverse to one of the provided solutions.
Transcribed Image Text:**Problem Statement:** Find the inverse Laplace Transform of \[ \frac{s-7}{s^2+2s+5} \] **Answer Choices:** 1. \( 2e^{-t} \cos(2t) + e^{-t} \sin(2t) \) 2. \( 4e^{-t} \cos(2t) - e^{-t} \sin(2t) \) 3. \( e^{-t} \cos(2t) + 2e^{-t} \sin(2t) \) 4. \( 2e^{-t} \cos(2t) - e^{-t} \sin(2t) \) 5. \( e^{-t} \cos(2t) - 4e^{-t} \sin(2t) \) **Description:** This problem asks you to determine the inverse Laplace transform of a given rational expression. The expression provided is typically associated with second-order linear differential equations. Each answer choice represents a potential time-domain function. The goal is to apply Laplace transform techniques and match the correct inverse to one of the provided solutions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer