Write the following system of differential equations in matrix form. dx dt dy dt 15 = where Ū= = || and V = x + y [x+y] = 5x - 5y x + -6x - 2y 881 X 14 [] V 5 -5] -6 -2 x + y x y HOROPAD y] [²4] [5 -2 X -5 -6 -2 - A -6 -5
Write the following system of differential equations in matrix form. dx dt dy dt 15 = where Ū= = || and V = x + y [x+y] = 5x - 5y x + -6x - 2y 881 X 14 [] V 5 -5] -6 -2 x + y x y HOROPAD y] [²4] [5 -2 X -5 -6 -2 - A -6 -5
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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Homework 16:
Question 2
![Write the following system of differential equations in matrix form.
dx
dt
dy
dt
15
=
where
Ū=
=
and
||
x + y
+ Y
V =
=
5x - 5y
-6x - 2y
X
x + y
x y x y
310
V
[]
5
-6
-57 5- X
-2
6
HARMPAD
-5
-2 - A
-5
-6 -2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9086a1c0-d376-4c80-871f-f484ad7b10c1%2Fa3ee9c85-fb01-4294-abb5-c2fbc6dfa490%2Fqxt7yvg_processed.png&w=3840&q=75)
Transcribed Image Text:Write the following system of differential equations in matrix form.
dx
dt
dy
dt
15
=
where
Ū=
=
and
||
x + y
+ Y
V =
=
5x - 5y
-6x - 2y
X
x + y
x y x y
310
V
[]
5
-6
-57 5- X
-2
6
HARMPAD
-5
-2 - A
-5
-6 -2
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