Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax+ f(t), x(a) = xa. 7 [3] x' = 5 - 1 25 -5 At- |x, f(t) = Find the projection matrix(matrices) for A. 1 + 5t [3] 8 The projection matrix(matrices) is/are 10 01 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. x(0) = -t 25t 1-5t Find the particular solution to the initial value problem. x(t) = ...
Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax+ f(t), x(a) = xa. 7 [3] x' = 5 - 1 25 -5 At- |x, f(t) = Find the projection matrix(matrices) for A. 1 + 5t [3] 8 The projection matrix(matrices) is/are 10 01 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. x(0) = -t 25t 1-5t Find the particular solution to the initial value problem. x(t) = ...
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:Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax+ f(t), x(a) = xa
7
x, f(t) = x(0) =
3
x' =
5 - 1
25 -5
Find the projection matrix(matrices) for A.
eAt =
The projection matrix(matrices) is/are
10
01
(Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.)
Find the matrix exponential.
3
8
- t
25t 1-5t
1 + 5t
Find the particular solution to the initial value problem.
x(t) =
***
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