Determine the particular solution of the differential equation: yiv+y′′′+ 2y′′+ 2y′= 2 − xe−x Which satisfies that y(0) = 1, y′ (0) = −2, y′′(0) = 3 and y′′′(0) = −4.
Determine the particular solution of the differential equation: yiv+y′′′+ 2y′′+ 2y′= 2 − xe−x Which satisfies that y(0) = 1, y′ (0) = −2, y′′(0) = 3 and y′′′(0) = −4.
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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Question
Determine the particular solution of the differential equation:
yiv+y′′′+ 2y′′+ 2y′= 2 − xe−x
Which satisfies that y(0) = 1, y′ (0) = −2, y′′(0) = 3 and y′′′(0) = −4.
Transcribed Image Text:y(0) = 1, y'(0) = -2, y" (0) = 3 y y" (0) = -4.
Transcribed Image Text:y" + y" + 2y" + 2y' = 2 – xe
iv
I-
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We will find out the particular solution using Laplace transform method.
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