(1 point) In this problem you will solve the nonhomogeneous system A. Write a fundamental matrix for the associated homogeneous system Y = B. Compute the inverse. y-1 = C. Multiply by g and integrate Y¹g dt = (Do not include C₁ and C2 in your answers). D. Give the solution to the system = +C1 +02 C₂ C₁+ (Do not include C1 and C2 in your answers). If you don't get this in 2 tries, you can get a hint. Hint: ⚫ The matrix -2 -9 2 has (13)-eigenvector 4 3+3i . The matrix Y = cos (st) sin(st) - sin(ẞt) cos(ẞt)] | has determinant det (Y) = det 2a t eat ⚫ This problem has been carefully designed so that integration by parts is not needed. -2 3et y' = + _9 2et
(1 point) In this problem you will solve the nonhomogeneous system A. Write a fundamental matrix for the associated homogeneous system Y = B. Compute the inverse. y-1 = C. Multiply by g and integrate Y¹g dt = (Do not include C₁ and C2 in your answers). D. Give the solution to the system = +C1 +02 C₂ C₁+ (Do not include C1 and C2 in your answers). If you don't get this in 2 tries, you can get a hint. Hint: ⚫ The matrix -2 -9 2 has (13)-eigenvector 4 3+3i . The matrix Y = cos (st) sin(st) - sin(ẞt) cos(ẞt)] | has determinant det (Y) = det 2a t eat ⚫ This problem has been carefully designed so that integration by parts is not needed. -2 3et y' = + _9 2et
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 14E: Solve for x,y,z and w in the matrix equation wxyx=-432-1+2ywzx.
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![(1 point) In this problem you will solve the nonhomogeneous system
A. Write a fundamental matrix for the associated homogeneous system
Y =
B. Compute the inverse.
y-1 =
C. Multiply by g and integrate
Y¹g dt =
(Do not include C₁ and C2 in your answers).
D. Give the solution to the system
=
+C1
+02
C₂
C₁+
(Do not include C1 and C2 in your answers).
If you don't get this in 2 tries, you can get a hint.
Hint:
⚫ The matrix
-2
-9
2
has (13)-eigenvector
4
3+3i
. The matrix Y =
cos (st) sin(st)
- sin(ẞt) cos(ẞt)]
|
has determinant det (Y)
= det
2a t
eat
⚫ This problem has been carefully designed so that integration by parts is not needed.
-2
3et
y'
=
+
_9
2et](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a558142-7770-498e-a4d7-d23af22148d0%2Fb43583a4-05c9-4a99-b78b-7c2bd5317773%2F2pnbsj_processed.png&w=3840&q=75)
Transcribed Image Text:(1 point) In this problem you will solve the nonhomogeneous system
A. Write a fundamental matrix for the associated homogeneous system
Y =
B. Compute the inverse.
y-1 =
C. Multiply by g and integrate
Y¹g dt =
(Do not include C₁ and C2 in your answers).
D. Give the solution to the system
=
+C1
+02
C₂
C₁+
(Do not include C1 and C2 in your answers).
If you don't get this in 2 tries, you can get a hint.
Hint:
⚫ The matrix
-2
-9
2
has (13)-eigenvector
4
3+3i
. The matrix Y =
cos (st) sin(st)
- sin(ẞt) cos(ẞt)]
|
has determinant det (Y)
= det
2a t
eat
⚫ This problem has been carefully designed so that integration by parts is not needed.
-2
3et
y'
=
+
_9
2et
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