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
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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a908816-dcaf-4aa4-8dd6-7dd2f0aea84f%2F7aa1c167-64d5-4b48-8269-9513647cc009%2Feopwpvw_processed.png&w=3840&q=75)
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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