I dont understand how to get 15/8 in this laplace problem I am totally lost, I've submitted this question more than once. Use the Laplace transform to solve the given initial-value problem.y' + 5y = e3t, y(0) = 2 Hencewe gety(6) + 5 rcs)%3D6-3sY(s) -Y(s) (s+5) =3-3=)S-328-6 + 13-328- 5(s-3) (s+5)

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Answered: Use the Laplace transform to solve the…

Math

Advanced Math

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

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

I dont understand how to get 15/8 in this laplace problem I am totally lost, I've submitted this question more than once.

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)

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