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Consider the following initial value problem: x" - 5x' - 14x = sin(8t), x(0) = 2, x'(0) = −1. Using X for the Laplace transform of x(t), i.e., X = L{x(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for X(s) = 2s^(3)-11s^(2)+128s-632)/((s^(2)+64)(s^(2)-5s-14)) help (formulas)

Consider the following initial value problem: x" - 5x' - 14x = sin(8t), x(0) = 2, x'(0) = −1. Using X for the Laplace transform of x(t), i.e., X = L{x(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for X(s) = 2s^(3)-11s^(2)+128s-632)/((s^(2)+64)(s^(2)-5s-14)) help (formulas)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following initial value problem: x" 5x' - 14x = sin(8t), x(0) = 2, x'(0) = -1. Using X for the Laplace transform of x(t), i.e., X = L{x(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for X(s) = (2s^(3)-11s^(2)+128s-632)/((s^(2)+64)(s^(2)-5s-14)) help (formulas)
Transcribed Image Text:Consider the following initial value problem: x" 5x' - 14x = sin(8t), x(0) = 2, x'(0) = -1. Using X for the Laplace transform of x(t), i.e., X = L{x(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for X(s) = (2s^(3)-11s^(2)+128s-632)/((s^(2)+64)(s^(2)-5s-14)) help (formulas)
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