Consider the system of differential equations dy 6x - 2y, dt da dt The coefficient matrix [ eigenvalues are 10 and 5. Select the option that gives the general solution of this system. Select one: O O []=[(-2₂2] =a =A =α -2 6 = -] =a -2x +9y. 2] elot + B elot + ß + D---- = előt has eigenvectors [1] [2] est sin (10t) + B cos (10t) + B est est [1] H cos(5t) sin (5t) [4] and [] and the corresponding
Consider the system of differential equations dy 6x - 2y, dt da dt The coefficient matrix [ eigenvalues are 10 and 5. Select the option that gives the general solution of this system. Select one: O O []=[(-2₂2] =a =A =α -2 6 = -] =a -2x +9y. 2] elot + B elot + ß + D---- = előt has eigenvectors [1] [2] est sin (10t) + B cos (10t) + B est est [1] H cos(5t) sin (5t) [4] and [] and the corresponding
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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Question
![Consider the system of differential equations
dy
dt
dx
dt
1
O
The coefficient matrix
Select one:
O
6
-2
eigenvalues are 10 and 5.
Select the option that gives the general solution of this system.
6x – 2y,
-
I
I
-
elot
=
1
+
-2x +9y.
-
-2
9
elot + B
[ ] = a[1] ¹² + 8 [¹₂] ₁²
2
elot
est
-
[:]-[₁]
has eigenvectors
[²]
[¹₂] M
[42]
est
sin(106) + [2]
B
cos(10t) + B
2
[1]
cos (5t)
sin (5t)
[22]
and
[3]
and the corresponding](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ac9dc76-28dc-4d11-9e57-18b906b03777%2F3e66b646-7dab-4bad-b1f6-80bb3a95921b%2F8r1e91_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the system of differential equations
dy
dt
dx
dt
1
O
The coefficient matrix
Select one:
O
6
-2
eigenvalues are 10 and 5.
Select the option that gives the general solution of this system.
6x – 2y,
-
I
I
-
elot
=
1
+
-2x +9y.
-
-2
9
elot + B
[ ] = a[1] ¹² + 8 [¹₂] ₁²
2
elot
est
-
[:]-[₁]
has eigenvectors
[²]
[¹₂] M
[42]
est
sin(106) + [2]
B
cos(10t) + B
2
[1]
cos (5t)
sin (5t)
[22]
and
[3]
and the corresponding
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