2. Find the general solution of the system of differen- tial equations d X = dt + 4t³e4 / sin(3t) cos(3t) 9 3 cos(3t) - sin(3t) x+ 2te -3 9 Hint: The characteristic polynomial of the coefficient matrix is (A – 9)² + 3².
2. Find the general solution of the system of differen- tial equations d X = dt + 4t³e4 / sin(3t) cos(3t) 9 3 cos(3t) - sin(3t) x+ 2te -3 9 Hint: The characteristic polynomial of the coefficient matrix is (A – 9)² + 3².
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
Linear Methods
![2. Find the general solution of the system of differen-
tial equations
(:)-
d
sin(3t)
cos(3t)
9 3
cos(3t)
(- sin(3t) )
x+ 2te
+ 4t³e
X%3D
dt
-3 9
Hint: The characteristic polynomial of the coefficient
matrix is (A – 9)² + 3².
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe525a968-d29b-48fb-a7c8-70d47cdcaf9d%2F225b6cf7-dcf1-441b-af4d-22a2beb1297d%2Fzykbzp_processed.png&w=3840&q=75)
Transcribed Image Text:2. Find the general solution of the system of differen-
tial equations
(:)-
d
sin(3t)
cos(3t)
9 3
cos(3t)
(- sin(3t) )
x+ 2te
+ 4t³e
X%3D
dt
-3 9
Hint: The characteristic polynomial of the coefficient
matrix is (A – 9)² + 3².
-
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