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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.) 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
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.) - \( \circ \; u(t) = e^{2t} + \frac{1}{6} \) - \( \circ \; u(t) = 4e^{2t} + 2e^{3t} \) - \( \circ \; u(t) = \frac{t}{6} + \frac{5}{36} \) - \( \circ \; u(t) = \frac{1}{6} \)
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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