Jse projection matrices to find the matri
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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Transcribed Image Text:Jse projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax + f(t). x(a) = xg.
%3!
7 - 3
48 e
f(t) =
72 et
A =
x(0) =
10 -6
.....
Find the projection matrix(matrices) for A.
1
3 3
1
- 10 10F10 -3
The projection matrix(matrices) is/are
(Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.)
Find the matrix exponential.
- 3 e-31 + 10 e 4t
3e -3t
4t
- 3 e
At
e
- 3t
- 10 e
- 3t
-3 e 4t
4t
+ 10 e
10 e
Find the particular solution to the initial value problem.
x(t) =D
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