Find the general solution of the system of equations X' - ( 205 ) x + ( 10 ) e²¹. est.
Find the general solution of the system of equations X' - ( 205 ) x + ( 10 ) e²¹. est.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Find the general solution to the system of equations
![Find the general solution of the system of equations
X'
(50
5 )x - ( 10 ) e*.
X =
Choose one
+ (-1/₁2) ₁
1 15t
+ C₂
( 2₁ ) e¹0² + 1/ ( 2 ) e°(
е
est
4
1
c₁ ( ²2 ) ² ² + 0₂ ( ₂2 ) ²¹²5² + 1/ ( 1²8 ) **
-5t
C1
1 15t
€₂
est
4
1
a ( ¹2 ) ² + 0₂ ( 2² ) e - 10²4 + 1/ ( ¹8 ) te ³
5t
1
-15t
1
-2
-8
test
5t
C1
(1) ²+(₁) + (1)
1
C₂
-15t
2
²²
5t
-2
est
4
2
a₁ ( 1 ) e
-5t
C1
² +
1
C₂
2 ( ²₁2 ) e²5¹ + ²/1 ( ² ) e ³²
15t
2
5t
-2
C1
=
20 5
-5t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F546ca3ef-5c41-4b6f-8ba8-1af4930ff657%2F44290dcd-93a0-458b-8e50-e9c4e7671dec%2Fklgkp1_processed.png&w=3840&q=75)
Transcribed Image Text:Find the general solution of the system of equations
X'
(50
5 )x - ( 10 ) e*.
X =
Choose one
+ (-1/₁2) ₁
1 15t
+ C₂
( 2₁ ) e¹0² + 1/ ( 2 ) e°(
е
est
4
1
c₁ ( ²2 ) ² ² + 0₂ ( ₂2 ) ²¹²5² + 1/ ( 1²8 ) **
-5t
C1
1 15t
€₂
est
4
1
a ( ¹2 ) ² + 0₂ ( 2² ) e - 10²4 + 1/ ( ¹8 ) te ³
5t
1
-15t
1
-2
-8
test
5t
C1
(1) ²+(₁) + (1)
1
C₂
-15t
2
²²
5t
-2
est
4
2
a₁ ( 1 ) e
-5t
C1
² +
1
C₂
2 ( ²₁2 ) e²5¹ + ²/1 ( ² ) e ³²
15t
2
5t
-2
C1
=
20 5
-5t
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