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Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2

Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2

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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I need help with laplace because I dont know how it works.  I provided the problem and the section I dont understand

Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2
Hence we get y(6) + 5 rcs) %3D 6-3 sY(s) - Y(s) (s+5) = 3-3 =) S-3 28-6 + 1 3-3 28- 5 (s-3) (s+5)
Transcribed Image Text:Hence we get y(6) + 5 rcs) %3D 6-3 sY(s) - Y(s) (s+5) = 3-3 =) S-3 28-6 + 1 3-3 28- 5 (s-3) (s+5)
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