Determine the solution x(t) for the given ODE and initial values. (a) x"+ 4x(t) = 0 with x'(0)=3 and x(0)=3 (b) x"(t) -4x'(t)+4x(t) = 2u(t) with x'(0)=0 and x(0)=0
Determine the solution x(t) for the given ODE and initial values. (a) x"+ 4x(t) = 0 with x'(0)=3 and x(0)=3 (b) x"(t) -4x'(t)+4x(t) = 2u(t) with x'(0)=0 and x(0)=0
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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![Determine the solution x(t) for the given ODE and initial values.
(a) x"+4x(t) = 0 with x'(0)=3 and x(0)=3
(b) x"(t) -4x'(t)+4x(t) = 2u(t) with x'(0)=0 and x(0)=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8cd8ef9-68c5-44d0-a42d-12ba22e324d6%2F8def0cc6-864c-4785-b439-f079c6b8c0ac%2Frjckwl8_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the solution x(t) for the given ODE and initial values.
(a) x"+4x(t) = 0 with x'(0)=3 and x(0)=3
(b) x"(t) -4x'(t)+4x(t) = 2u(t) with x'(0)=0 and x(0)=0
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