Express the solution of the given initial value problem in terms of a convolution integral y" + 10y' + 21y = cos(at); y(0) = 1, 7 y(t) 3 -7t e drX -3t +. cos(a t – a t) (e-37 – e-1") -- 4 4
Express the solution of the given initial value problem in terms of a convolution integral y" + 10y' + 21y = cos(at); y(0) = 1, 7 y(t) 3 -7t e drX -3t +. cos(a t – a t) (e-37 – e-1") -- 4 4
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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Transcribed Image Text:Express the solution of the given initial value problem in terms of a
convolution integral
y" + 10y' + 21y = cos(at); y(0) = 1,
y'(0) = 0
7
y(t)
3
-7t
e
drX
-3t
+,
cos(a t – a T) (e-3r – e-1")
--
4
4
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