Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following values. et 6te¹ (8t+18t²) e¹ 6te¹ 168 A = 0 1 6. f(t)= , x(0)= --- 3e¹ x(t) = 001 At 0 0

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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.
168
0
A 0 1 6. f(t) =
#
|--
0, x(0)=
001
3 et
x(t) =
0
0
e =
et 6te¹ (8t+18t²) e¹
0
et
6tet
0
0
e
IX
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. 168 0 A 0 1 6. f(t) = # |-- 0, x(0)= 001 3 et x(t) = 0 0 e = et 6te¹ (8t+18t²) e¹ 0 et 6tet 0 0 e IX
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