5. Consider the ODE y" + ky' + 36y= 2eßt with 3 and k constant. If this ODE has a particular solution given by t²eßt, what is the product of 3 and k?
5. Consider the ODE y" + ky' + 36y= 2eßt with 3 and k constant. If this ODE has a particular solution given by t²eßt, what is the product of 3 and k?
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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Transcribed Image Text:5.
Consider the ODE
y" + ky' + 36y= 2eßt
with and k constant. If this ODE has a particular solution given by t²eßt, what
is the product of 3 and k?
(a) 144
(b)-108
(c) 18
(d) 228
-72
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