A = 4 -1 5-2 ,f(t) = 19,21 31e2t ,x(0) = 5e³t-e-t-e³t+e-t 5e3t-5e-t-e3t+5e-t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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)=x₂ using the following values.
5e³t-e-t
-e3t+e-t
A =
x(t) =
4-1
5-2
,f(t) =
1921
31 21
,x(0) =
eAt.
5e3t-5e-t-e3t+5e-t
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. 5e³t-e-t -e3t+e-t A = x(t) = 4-1 5-2 ,f(t) = 1921 31 21 ,x(0) = eAt. 5e3t-5e-t-e3t+5e-t
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