1. Which of the following are solutions to the ODE 2u" (t) 10u' (t) + 12u(t) = 2 - (Bubble the solution (s), no justification needed.) u(t) = e²t+ Ou(t)= 4e2t +2e³t ○ u(t) = +36 Ou(t)=
1. Which of the following are solutions to the ODE 2u" (t) 10u' (t) + 12u(t) = 2 - (Bubble the solution (s), no justification needed.) u(t) = e²t+ Ou(t)= 4e2t +2e³t ○ u(t) = +36 Ou(t)=
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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![1. Which of the following are solutions to the ODE
\[ 2u''(t) - 10u'(t) + 12u(t) = 2 \]
(Bubble the solution(s), no justification needed.)
- \( \circ \; u(t) = e^{2t} + \frac{1}{6} \)
- \( \circ \; u(t) = 4e^{2t} + 2e^{3t} \)
- \( \circ \; u(t) = \frac{t}{6} + \frac{5}{36} \)
- \( \circ \; u(t) = \frac{1}{6} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5d3f26-cda5-43e5-8223-bfa02258241c%2Fc05fef14-4ee3-435f-bcb2-095cebd49a22%2F14attqi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Which of the following are solutions to the ODE
\[ 2u''(t) - 10u'(t) + 12u(t) = 2 \]
(Bubble the solution(s), no justification needed.)
- \( \circ \; u(t) = e^{2t} + \frac{1}{6} \)
- \( \circ \; u(t) = 4e^{2t} + 2e^{3t} \)
- \( \circ \; u(t) = \frac{t}{6} + \frac{5}{36} \)
- \( \circ \; u(t) = \frac{1}{6} \)
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