t) = y" + 2y' + y = 8(t = 7), y(0) = 0, y'(0) = 0 4e-t X + e-(t-1) 1₂ )2(t-17 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the Laplace transform to solve the given initial-value problem.
y" + 2y' + y = 8(t – 7), y(0) = 0, y'(0) = 0
y(t) = 4e t
X
+ e-(t-1)
)2(t-7
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. y" + 2y' + y = 8(t – 7), y(0) = 0, y'(0) = 0 y(t) = 4e t X + e-(t-1) )2(t-7
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