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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Consider the following IVP:
x" - 4x' + 4x = 4e"; x(0) = -1, x'(0) = -4
Find the general solution.
x(1) = e' (212-1-2)
A
x(1) =
Le²(1?– 21+ 1)
B
x(1) = *?- 2?+1)
4
x(1)
e" (212 – 21 – 1)
Transcribed Image Text:Consider the following IVP: x" - 4x' + 4x = 4e"; x(0) = -1, x'(0) = -4 Find the general solution. x(1) = e' (212-1-2) A x(1) = Le²(1?– 21+ 1) B x(1) = *?- 2?+1) 4 x(1) e" (212 – 21 – 1)
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