Use the method of variation of parameters to solve the initial value problem x' = Ax+ f(t), x(a) = x, using the following values. 7e4-e-21-²¹ + 2t 7e²-7e2-e¹ +7e21 A= x(t)= 5 7-3 ,f(t) = 17e²t 3521 x(0)=

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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Use the method of variation of parameters to solve the initial value problem x' = Ax+ f(t), x(a) = x, using the following values.
17,²
7e¹-e21
[:]
7e4-7e-21
A =
x(t) =
5-1
7-3
,f(t)=
3521
x(0) =
eAt
6
te
21
21
Transcribed Image Text:Use the method of variation of parameters to solve the initial value problem x' = Ax+ f(t), x(a) = x, using the following values. 17,² 7e¹-e21 [:] 7e4-7e-21 A = x(t) = 5-1 7-3 ,f(t)= 3521 x(0) = eAt 6 te 21 21
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