Question 8 Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A 22" (1?-21+ 1) x(t) = = -e2(13– 212+1) B x(t) 4 © x(t) = e" (212– 21 – 1) D x(t) = e'(212 –t-2) %3D
Question 8 Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A 22" (1?-21+ 1) x(t) = = -e2(13– 212+1) B x(t) 4 © x(t) = e" (212– 21 – 1) D x(t) = e'(212 –t-2) %3D
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:Question 8
Consider the following IVP:
x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4
Find the general solution.
A
x (t) = -e2" (12– 21+ 1)
B
x(t) = -e" (13– 21²+ 1)
4
x(t) = e" (212 – 2t – 1)
D
x (t) = e'(212 -t- 2)
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