2. Determine the form of a particular solution to each of the following differential equations: (a) z" - 6' +9r=t cos (2t) + (t-2)et (b) " + 2r + 2r=3e +2ecost + 4t² sint (c) "-4r + 4z = 2t² + 3te²¹ +sin 2t (d) " + 4z = 4t cos (2t)

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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2. Determine the form of a particular solution to each of the following differential equations:
(a) "62 +9= t cos (2t) + (t-2)³
(b) r" +2r +2r=3e +2e cost +41² sint
4x + 4x=21² + 3te²t+sin 2t
(c) "
(d) "
-
+ 4x = 4t cos (2t)
Transcribed Image Text:2. Determine the form of a particular solution to each of the following differential equations: (a) "62 +9= t cos (2t) + (t-2)³ (b) r" +2r +2r=3e +2e cost +41² sint 4x + 4x=21² + 3te²t+sin 2t (c) " (d) " - + 4x = 4t cos (2t)
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