Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), (a)=x₂ using the following values. ^ [:)]~-~-~-[*] A = x(0)= e At 2 4 1 16 4 f(t): --8-8-8 =(t) = + 2 5 2 1 + 4t -t 16t 1-4t

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ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
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Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t),
x(a)=x₂ using the following values.
A =
4 1
16 - 4
5
-[3]
=
2
f(t):
--8-8-8
x(t) =
+
x(0) =
8
eAt
=
1 + 4t
-t
16t 1 - 4t
Transcribed Image Text:Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)=x₂ using the following values. A = 4 1 16 - 4 5 -[3] = 2 f(t): --8-8-8 x(t) = + x(0) = 8 eAt = 1 + 4t -t 16t 1 - 4t
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