Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = xa using the following values. A = x(t) = 4 16 6 |--[: f(t) = 4 1 -4 x(0) = 6 5 eAt 1+ 4t -t 16t 1-4t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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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) = Xa
using the following values.
6
6
~G-0×8-CA
f(t) =
x(0) =
4
5
x(t) =
=
4 1
16-4
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) = Xa using the following values. 6 6 ~G-0×8-CA f(t) = x(0) = 4 5 x(t) = = 4 1 16-4 eAt- 1 + 4t -t 16t 1-4t
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