Find the solution of the given initial value problem. y + 4y sint + u, (1) sin(tn), y(0) = 0, y' (0) = 0

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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Find the solution of the given initial value problem.
0 0 0
y(t)=
y(t)
y (t) ==
y(1) =
y(t) =
y" +4y= sint + u, (1) sin(t- ), y (0) = 0, y (0) = 0
sint + sin2t-u (1) sint - 4, (f) sin2t
I
3 sin21
(t) sin2r
sint-sin2t
1
sinf sin2r-
6" (1) sin2r
sint - sin21-34 (1) sint- u. (1) sin2t
6
Transcribed Image Text:Find the solution of the given initial value problem. 0 0 0 y(t)= y(t) y (t) == y(1) = y(t) = y" +4y= sint + u, (1) sin(t- ), y (0) = 0, y (0) = 0 sint + sin2t-u (1) sint - 4, (f) sin2t I 3 sin21 (t) sin2r sint-sin2t 1 sinf sin2r- 6" (1) sin2r sint - sin21-34 (1) sint- u. (1) sin2t 6
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