In this problem you will solve the nonhomogeneous system A. Write a fundamental matrix for the associated homogeneous system √ - B. Compute the inverse √¹ C. Multiply by and integrate +9₁ ġdt +%₂₂ (Do not include c₁ and ₂ in your answers). D. Give the solution to the system y = (Do not include c, and c₂ in your answers). If you don't get this in 2 tries, you can get a hint Hint: The matrix []has ( has (41)-eigenvector •The matrix B cos(8t) sin(e)t sin(e) cos(Be) at has determinant det() = det • This problem has been carefully designed so that integration by parts is not needed. C+
In this problem you will solve the nonhomogeneous system A. Write a fundamental matrix for the associated homogeneous system √ - B. Compute the inverse √¹ C. Multiply by and integrate +9₁ ġdt +%₂₂ (Do not include c₁ and ₂ in your answers). D. Give the solution to the system y = (Do not include c, and c₂ in your answers). If you don't get this in 2 tries, you can get a hint Hint: The matrix []has ( has (41)-eigenvector •The matrix B cos(8t) sin(e)t sin(e) cos(Be) at has determinant det() = det • This problem has been carefully designed so that integration by parts is not needed. C+
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
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![In this problem you will solve the nonhomogeneous system
A. Write a fundamental matrix for the associated homogeneous system
√ -
B. Compute the inverse
C. Multiply by and integrate
+9₁
ġdt
+%₂₂
(Do not include c₁ and ₂ in your answers).
D. Give the solution to the system
y =
(Do not include c₁ and ₂ in your answers).
If you don't get this in 2 tries, you can get a hint
Hint:
The matrix
has (41)-eigenvector
" [₁+44]
•The matrix
B
cos(8t) sin(t)t
sin(e) cos(Be)
has determinant det() = det
• This problem has been carefully designed so that integration by parts is not needed.
C+
C₂
y'
1+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18ed0ce2-6c58-45bd-98cf-399128f062f8%2F80b3070f-0a65-44e9-b460-f48d89802958%2Fozys01a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In this problem you will solve the nonhomogeneous system
A. Write a fundamental matrix for the associated homogeneous system
√ -
B. Compute the inverse
C. Multiply by and integrate
+9₁
ġdt
+%₂₂
(Do not include c₁ and ₂ in your answers).
D. Give the solution to the system
y =
(Do not include c₁ and ₂ in your answers).
If you don't get this in 2 tries, you can get a hint
Hint:
The matrix
has (41)-eigenvector
" [₁+44]
•The matrix
B
cos(8t) sin(t)t
sin(e) cos(Be)
has determinant det() = det
• This problem has been carefully designed so that integration by parts is not needed.
C+
C₂
y'
1+
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