Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A x(1) = e² (21² – 21 – 1 ) x(1) = -e(?–21+ 1) В – 21²+ 1) x(t) = D x(t) = e'(21²– t-2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following IVP:
x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4
Find the general solution.
x(t) = e" (2t2– 2t – 1)
B
x(t) =
- 2t + 1)
x(1) = -²³– 21?+ 1)
4
D
x(t) = e'(21²– t- 2)
Transcribed Image Text:Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. x(t) = e" (2t2– 2t – 1) B x(t) = - 2t + 1) x(1) = -²³– 21?+ 1) 4 D x(t) = e'(21²– t- 2)
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