4. Suppose the following functions are a general solution of: y(4) + azy" + azy" + a13 + a0y = 0 where a3, a2, a1, ay are constants. Use each general solution to determine the constants a3, a2, ɑ1, ao. (a) y(t) = c1 + ©zt + c3 cos(3t) + c4 sin(3t) (b) y(t) = c1 cos(t) + ©2 sin(t) + c3 cos(2t) + c4 sin(2t) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Suppose the following functions are a general solution of:
y(4) + azy" + a2y" + a1y' + aoy = 0)
where a3, a2, 41, aq are constants. Use each general solution to determine the constants a3, a2, a1, a0-
(a) y(t) = c1 + czt + c3 Cos(3t) + c4 sin(3t)
(b) y(t) = c1 cos(t) + c2 sin(t) + c3 Cos(2t) + c4 sin(2t)
Transcribed Image Text:4. Suppose the following functions are a general solution of: y(4) + azy" + a2y" + a1y' + aoy = 0) where a3, a2, 41, aq are constants. Use each general solution to determine the constants a3, a2, a1, a0- (a) y(t) = c1 + czt + c3 Cos(3t) + c4 sin(3t) (b) y(t) = c1 cos(t) + c2 sin(t) + c3 Cos(2t) + c4 sin(2t)
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