6.2 Transforms of derivatives and ODEs: Problem 1 (20 points) Consider the following initial value problem: x" -5x-24x=sin(2t), x(0) = 1, x'(0) = = −4. 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) = ☐ help (formulas) Book: Section 6.2 of Notes on Diffy Qs

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6.2 Transforms of derivatives and ODEs: Problem
1
(20 points)
Consider the following initial value problem:
x" -5x-24x=sin(2t), x(0) = 1, x'(0) =
= −4.
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) = ☐ help (formulas)
Book: Section 6.2 of Notes on Diffy Qs
Transcribed Image Text:6.2 Transforms of derivatives and ODEs: Problem 1 (20 points) Consider the following initial value problem: x" -5x-24x=sin(2t), x(0) = 1, x'(0) = = −4. 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) = ☐ help (formulas) Book: Section 6.2 of Notes on Diffy Qs
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