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Use the Laplace transform to solve the given initial-value problem. y' +4y=e-4t, y(0) = 2 y(t) = 4t exp(-t) + 7 exp(-t) -exp(4t) + exp(-4t) exp(2t) - 3t exp(2t) t exp(4t) - 2 exp(4t) -4t exp(t)- 8 exp(t) t exp(-4t) + 2 exp(-4t) exp(-4t) + exp(4t) exp(-2t) + 4t exp(-2t) 0 No solution

Use the Laplace transform to solve the given initial-value problem. y' +4y=e-4t, y(0) = 2 y(t) = 4t exp(-t) + 7 exp(-t) -exp(4t) + exp(-4t) exp(2t) - 3t exp(2t) t exp(4t) - 2 exp(4t) -4t exp(t)- 8 exp(t) t exp(-4t) + 2 exp(-4t) exp(-4t) + exp(4t) exp(-2t) + 4t exp(-2t) 0 No solution

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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Use the Laplace transform to solve the given initial-value problem. y' +4y=e-4t, y(0) = 2 y(t) = 4t exp(-t) + 7 exp(-t) -exp(4t) + exp(-4t) exp(2t) - 3t exp(2t) t exp(4t) - 2 exp(4t) -4t exp(t)- 8 exp(t) t exp(-4t) + 2 exp(-4t) exp(-4t) + exp(4t) exp(-2t) + 4t exp(-2t) 0 No solution
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. y' +4y=e-4t, y(0) = 2 y(t) = 4t exp(-t) + 7 exp(-t) -exp(4t) + exp(-4t) exp(2t) - 3t exp(2t) t exp(4t) - 2 exp(4t) -4t exp(t)- 8 exp(t) t exp(-4t) + 2 exp(-4t) exp(-4t) + exp(4t) exp(-2t) + 4t exp(-2t) 0 No solution
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