Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax+ f(t), x(a) = xa. 5 1 3 ×-[2]}~-[:] ×0-[:] |x, f(t)= x(0) = 25 -5 2 X'= Find the projection matrix(matrices) for A. 9 10 0 1 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. At = 5 The projection matrix(matrices) is/are 1 + 5t - 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. 5 1 3 ×-[2]}~-[:] ×0-[:] |x, f(t)= x(0) = 25 -5 2 X'= Find the projection matrix(matrices) for A. 9 10 0 1 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. At = 5 The projection matrix(matrices) is/are 1 + 5t - 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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Need only a handwritten solution only (not a typed one).
![Use projection matrices to find the matrix exponential and particular solution of
the given linear system x' = Ax+ f(t), x(a)=xa.
5 - 1
9
3
× - [2 ]}~-[:] ×0-;]
X'=
|x, f(t)=
x(0) =
25 -5
5
2
Find the projection matrix(matrices) for A.
10
The projection matrix(matrices) is/are
0 1
(Type exact answers, using radicals and i as needed. Use a comma to separate
matrices as needed.)
Find the matrix exponential.
At =
1 + 5t
- t
25t 1 - 5t
Find the particular solution to the initial value problem.
x(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca0af6fe-3470-4a38-afd0-28f2ac9ded62%2Ff26d5549-f07c-49d2-9750-98ec1de42a88%2F1i2jxjk_processed.png&w=3840&q=75)
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.
5 - 1
9
3
× - [2 ]}~-[:] ×0-;]
X'=
|x, f(t)=
x(0) =
25 -5
5
2
Find the projection matrix(matrices) for A.
10
The projection matrix(matrices) is/are
0 1
(Type exact answers, using radicals and i as needed. Use a comma to separate
matrices as needed.)
Find the matrix exponential.
At =
1 + 5t
- t
25t 1 - 5t
Find the particular solution to the initial value problem.
x(t) =
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