6) (a). (8pts) Find a particular solution to y" – 2y' + y = 24e'. Hint: Use the method of undetermined coefficients. (Calculate the coefficients) (b). (4pts) Find the form of a particular solution to 0"(t) + 20'(t) + 40(t) = 7e2 cosv3t COSV %3D Hint: Use the method of undetermined coefficients (Do not evaluate coefficients).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6) (a). (8pts) Find a particular solution to y" – 2y' + y = 24e².
Hint: Use the method of undetermined coefficients. (Calculate the coefficients)
(b). (4pts) Find the form of a particular solution to 0"(t) + 20'(t) + 40(t) = 7e2"cos/3t
Hint: Use the method of undetermined coefficients (Do not evaluate coefficients).
Transcribed Image Text:6) (a). (8pts) Find a particular solution to y" – 2y' + y = 24e². Hint: Use the method of undetermined coefficients. (Calculate the coefficients) (b). (4pts) Find the form of a particular solution to 0"(t) + 20'(t) + 40(t) = 7e2"cos/3t Hint: Use the method of undetermined coefficients (Do not evaluate coefficients).
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