a. Find the most general real-valued solution to the linear system of differential equations a x₁ (t) x₂ (t) = C1 + C₂ -2 1 -36] -2 x.
a. Find the most general real-valued solution to the linear system of differential equations a x₁ (t) x₂ (t) = C1 + C₂ -2 1 -36] -2 x.
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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I already know the eigenvalues are -2+6i, and 2-6i, and the eigenvector is [6i,1] , and [-6i,1], im just struggling finding the overall solution
![a. Find the most general real-valued solution to the linear system of differential equations a
7
21(t)
x₂ (t)
[HBHE]
= C1
b. In the phase plane, this system is best described as a
source / unstable node
=
+ C2
|
-36
x.
-2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e92f01f-427a-458b-8d03-ab124ce50fd6%2Ff3c9bcd1-eb49-4144-aca8-99df02d116e7%2Fks0n10p_processed.png&w=3840&q=75)
Transcribed Image Text:a. Find the most general real-valued solution to the linear system of differential equations a
7
21(t)
x₂ (t)
[HBHE]
= C1
b. In the phase plane, this system is best described as a
source / unstable node
=
+ C2
|
-36
x.
-2
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