Use the method of variation of parameters to solve the initial value problem x' = Ax+ f(t), x(a)=x using the following values. [20] 40 A = 5 -6 f(t): x(0)= At 1-et+6e4t 6e-t-6e4t -e¹+eª² 6e-t

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Chapter2: Second-order Linear Odes
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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.
1-et+6e4t 6e-t-6e4t
어
-et+et 6e-t-e4t
20
^~;;~--~--~-[*
f(t)=
x(0) = eAt
40
A =
x(t) =
5 6
1 -2
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. 1-et+6e4t 6e-t-6e4t 어 -et+et 6e-t-e4t 20 ^~;;~--~--~-[* f(t)= x(0) = eAt 40 A = x(t) = 5 6 1 -2
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