(2) Consider the following vector ODE 2 1 1 Y': × - (D) - - () 0 2 -1 Y + 0 0 0 -1 (a) Convert it into a system of first order ODEs like we did in class. (b) Use this system to find the general solution to our vector ODE. Please, write your answer in the form Y = * * * * * () (3) * * * * + * * *

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(2) Consider the following vector ODE
Y'
=
(a) Convert it into a system of first order ODEs like we did in class.
Y =
21
1
0 2 -1
0 0 -1
*
(b) Use this system to find the general solution to our vector ODE. Please, write your answer in the form
*
*
*
*
1
-()
Y +
C₁
C₂
C3
*
+ *
*
Transcribed Image Text:(2) Consider the following vector ODE Y' = (a) Convert it into a system of first order ODEs like we did in class. Y = 21 1 0 2 -1 0 0 -1 * (b) Use this system to find the general solution to our vector ODE. Please, write your answer in the form * * * * 1 -() Y + C₁ C₂ C3 * + * *
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