Find the general solution to the system: x' = A x + b, where A is the 2 X 2 matrix A = 3 -1 1 5 and b is the 2 X 1 vector b = 5 exp(2t) -3 exp(2t).
Find the general solution to the system: x' = A x + b, where A is the 2 X 2 matrix A = 3 -1 1 5 and b is the 2 X 1 vector b = 5 exp(2t) -3 exp(2t).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Find the general solution to the system:
x' = A x + b, where A is the 2 X 2 matrix
A = 3 -1
1 5
and b is the 2 X 1
b = 5 exp(2t)
-3 exp(2t).
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