Given that y, (t) - cos tis a solution to y"-y'+y = sin t and y2 (0) 3 e 21 is a solution to y"- y' y=e21 use the superposition principle to find solutions to the differential equations in parts (a) through (C) below. (a) y" - y' y= 18 sin A solution is y() = (b) y" - y' +y - 4 sint-62t Question Vicwer A solution is y(t) = (c) y"-y'+y= 5 sin t+ 18 e21 A soluton is y(t) -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given that y, (t) = costis a solution to y"-y' +y = sin t and y2 (1)
3
e 21
is a solution to y"-y'+y=e2 use the superposition principle to find solutions to the differential equations in parts (a) through (c) below.
(a) y'' - y'+ y= 18 sint
A solution is y() =
(b) y" - y' +y - 4 sint-6et
Question Vicwer
A solution is y(t) =N.
(c) y"- y' +y=5 sin t+ 18 e2t
A solution is y(1) =
Transcribed Image Text:Given that y, (t) = costis a solution to y"-y' +y = sin t and y2 (1) 3 e 21 is a solution to y"-y'+y=e2 use the superposition principle to find solutions to the differential equations in parts (a) through (c) below. (a) y'' - y'+ y= 18 sint A solution is y() = (b) y" - y' +y - 4 sint-6et Question Vicwer A solution is y(t) =N. (c) y"- y' +y=5 sin t+ 18 e2t A solution is y(1) =
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