y" - 4y' + 4 y = e2 y(0) = 7, y' (0) = 0 %3D %3D %3D the Laplace transform Y(s) of the solution y(t) is : 7s - 42s + 57 (s – 2)3 - 13 (s + 2)3 7s – 13 (s – 2)3 - 7s - 42s + 57 (s – 2)(s + 2)2 7s? - 42s + 57 (s + 2)3 13 (s – 2)3 -

y" - 4y' + 4 y = e2 y(0) = 7, y' (0) = 0 %3D %3D %3D the Laplace transform Y(s) of the solution y(t) is : 7s - 42s + 57 (s – 2)3 - 13 (s + 2)3 7s – 13 (s – 2)3 - 7s - 42s + 57 (s – 2)(s + 2)2 7s? - 42s + 57 (s + 2)3 13 (s – 2)3 -

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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A: Introduction :

Question

8. *
y" - 4y' + 4y = e?
y(0) = 7, y' (0) = 0
the Laplace transform Y(s)
of the solution y(t) is :
7s?
-42s + 57
(s – 2)3
13
(s + 2)3
7s – 13
(s – 2)3
7s? – 42s + 57
(s – 2)(s + 2)2
7s2 – 42s + 57
(s + 2)3
13
(s – 2)3
7s - 13
(s - 2)(s + 2)2

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