Solve the given initial-value problem. y'' + 4y' + 4y = (7 + x)e−2x, y(0) = 4, y'(0) = 9.
Solve the given initial-value problem. y'' + 4y' + 4y = (7 + x)e−2x, y(0) = 4, y'(0) = 9.
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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Solve the given initial-value problem. y'' + 4y' + 4y = (7 + x)e−2x, y(0) = 4, y'(0) = 9.
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Step 1: Define Linearity property for Laplace transform and write some theorem
VIEWStep 2: Solving the given equation using Laplace transform
VIEWStep 3: Write y(x) in terms of inverse Laplace transform
VIEWStep 4: Determine inverse Laplace transform of some function
VIEWStep 5: Write the required solution
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