Match the differential equation with it's particular solution form. | y’’ – 6y' + 9y а. Ate 2t |y'’ – 4y = (4t + 5)e* b. Aet |y'’ – 4y = e2t - с. (At + B)e3t |y'’ – 4y = (4t + 5)e* d. Atet | y’’ – 6y' + 9y e. (At + B)tet - = pst y’’ – 4y = e3t f. Aet - > > >

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Match the differential equation with it's particular solution form.
| y'’ – by' + 9y
e2t
а. Ate2t
v y'' – 4y = (4t + 5)et
b. Aet
|y’’ – 4y = et
-
с. (At + B)est
v y'' – 4y = (4t + 5)e³
d. At?e3t
|y'' – by' + 9y = et
e. (At + B)te²t
|y'’ – 4y = et
f. Ae³t
Transcribed Image Text:Match the differential equation with it's particular solution form. | y'’ – by' + 9y e2t а. Ate2t v y'' – 4y = (4t + 5)et b. Aet |y’’ – 4y = et - с. (At + B)est v y'' – 4y = (4t + 5)e³ d. At?e3t |y'' – by' + 9y = et e. (At + B)te²t |y'’ – 4y = et f. Ae³t
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