Consider the initial value problem (a) Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ x(t)= dx dt 210₁= (b) Solve the initial value problem. Give your solution in real form. 4 cos 2r-10 sin 2 6 cos 2r+14 sin 2/ and A₂ = -0 -21,0₂=
Consider the initial value problem (a) Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ x(t)= dx dt 210₁= (b) Solve the initial value problem. Give your solution in real form. 4 cos 2r-10 sin 2 6 cos 2r+14 sin 2/ and A₂ = -0 -21,0₂=
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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![Consider the initial value problem
dx
dt
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
A₁ = 21,0₁=
(b) Solve the initial value problem. Give your solution in real form.
4 cos 2r-10 sin 2
6 cos 2r+14 sin 2/
x(t)=
-0
and A₂ = -21,0₂=
[圖]
-1+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ca63060-5e10-4976-9545-33c78f356354%2F7572b71c-0d92-4238-aab3-b6fa3bbd5307%2F0ejn06.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the initial value problem
dx
dt
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
A₁ = 21,0₁=
(b) Solve the initial value problem. Give your solution in real form.
4 cos 2r-10 sin 2
6 cos 2r+14 sin 2/
x(t)=
-0
and A₂ = -21,0₂=
[圖]
-1+1
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