2u" (t) 10u' (t) + 12u(t) = 4t -
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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![The image contains a problem related to ordinary differential equations (ODEs). Here's the transcription:
---
1. Which of the following are solutions to the ODE
\[ 2u''(t) - 10u'(t) + 12u(t) = 4t \]
(Bubble the solution(s), no justification needed.)
- ○ \( u(t) = e^{2t} + \frac{t}{3} + \frac{5}{18} \)
- ○ \( u(t) = 4e^{2t} + 2e^{3t} \)
- ○ \( u(t) = \frac{t}{3} + \frac{5}{18} \)
- ○ \( u(t) = \frac{t}{3} \)
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5d3f26-cda5-43e5-8223-bfa02258241c%2F851e7983-cd35-4201-97a9-7657ef85293a%2Ftqwfvqv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a problem related to ordinary differential equations (ODEs). Here's the transcription:
---
1. Which of the following are solutions to the ODE
\[ 2u''(t) - 10u'(t) + 12u(t) = 4t \]
(Bubble the solution(s), no justification needed.)
- ○ \( u(t) = e^{2t} + \frac{t}{3} + \frac{5}{18} \)
- ○ \( u(t) = 4e^{2t} + 2e^{3t} \)
- ○ \( u(t) = \frac{t}{3} + \frac{5}{18} \)
- ○ \( u(t) = \frac{t}{3} \)
---
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