4. For the given differential equation write a particular solution with unde- termined coefficients. Do not find the actual values of the coefficients. (a) r" - 3r' + 2x = 3t²e-t + 2tet - t³ + et cos 2t 2t (b) x''' — 21" + 5x' = 4t + 5 - sin 2t - e* cos 2 (c) x'"" - 21""+"=1+2et + 3t sin 4t.
4. For the given differential equation write a particular solution with unde- termined coefficients. Do not find the actual values of the coefficients. (a) r" - 3r' + 2x = 3t²e-t + 2tet - t³ + et cos 2t 2t (b) x''' — 21" + 5x' = 4t + 5 - sin 2t - e* cos 2 (c) x'"" - 21""+"=1+2et + 3t sin 4t.
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.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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B, C
![4. For the given differential equation write a particular solution with unde-
termined coefficients. Do not find the actual values of the coefficients.
(a) r" - 3r' + 2x = 3t²e-t + 2tet - t³ + et cos 2t
(b) I'" - 21" + 5x' = 4t + 5 - sin 2t - et cos 2t
(c) x'"" - 21""+"=1+2et + 3t sin 4t.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F801d34df-dcab-45aa-85e0-2349cce424a4%2F6a45b519-974f-4409-8c87-3cf903162ea4%2Fp1oksf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. For the given differential equation write a particular solution with unde-
termined coefficients. Do not find the actual values of the coefficients.
(a) r" - 3r' + 2x = 3t²e-t + 2tet - t³ + et cos 2t
(b) I'" - 21" + 5x' = 4t + 5 - sin 2t - et cos 2t
(c) x'"" - 21""+"=1+2et + 3t sin 4t.
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