Find the general solution of the given system of equations. X = C1 X = C₁ X = C1 X = C1 X = C₁ 9 cost - sint cost 9 cost - sint - cost 9 cost - sint cost 9 cost - sint cost 9 cost - sint - cost + C₂ + C₂ + C₂ + C₂ + C₂ 9-82 cost x' x = (₁ - $2²) x + (-COST) 1 -9 sint 9 sint + cost sint 9 sint - cost - sint 1 83 ) - 17 (2) cost - 7 (8³) 4 9 9 ³) - /²2 (²) ₁ 9 ) + ²/(?) 9 sint + cost sint 9 sint + cost sint 9 sint - cost - sint 1 9 - (2) 2 t cost + t cost - sint 9 () + ²/(?) 1 cost - 1/2 (3) t 2 t sint 1 t sint 4 (2) c 1 9 1 1 - (3) sint-(2) cost - t 2 4 cost - 83 -1 (8³), t 4 9 9 1 1 1 ¹)-2²2 (2) 1 cost+ (3) sint - (2) cost - t t 4 4 (83) sinf 9 (83) sint 9

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Find the general solution of the given system of equations.
x = (i
X = C1
X = C1
X = C1
X = C1
X = C1
9 cost - sint
cost
9 cost - sint
- cost
9 cost - sint
cost
9 cost sint
cost
9 cost - sint
(²
- cost
+ C₂
+ C₂
+ C2
+ C₂
+ C₂
) -
9 sint + cost
sint
=)x + (-5)
-9
9 sint cost
- sint
9 sint + cost
sint
9 sint + cost
sint
9 sint - cost
- sint
9 82
1
(2)
1+ (2) cost - - (83) sint
4
4
9
1
') (²)
- ²1 (2) + const + 1 (2) + sine -
t
t
2
2
0
4
9
¹) + ²/² ( ²9 )
2
t cost
9
t cost
) + 2/2 (²)
1)-(2) cost+
(²)
9
t
-
1
1
(3) + sin -
t
9
(3) sine
2
1
4
(2) -
cost
(2) cost -
83
t
(₂) ¹
(8³)
(83) sin
9
1
4
1
9
1
1
83
¹1 ₁
(3) sin(2) cost-(33) sint
t
4
4 9
Transcribed Image Text:Find the general solution of the given system of equations. x = (i X = C1 X = C1 X = C1 X = C1 X = C1 9 cost - sint cost 9 cost - sint - cost 9 cost - sint cost 9 cost sint cost 9 cost - sint (² - cost + C₂ + C₂ + C2 + C₂ + C₂ ) - 9 sint + cost sint =)x + (-5) -9 9 sint cost - sint 9 sint + cost sint 9 sint + cost sint 9 sint - cost - sint 9 82 1 (2) 1+ (2) cost - - (83) sint 4 4 9 1 ') (²) - ²1 (2) + const + 1 (2) + sine - t t 2 2 0 4 9 ¹) + ²/² ( ²9 ) 2 t cost 9 t cost ) + 2/2 (²) 1)-(2) cost+ (²) 9 t - 1 1 (3) + sin - t 9 (3) sine 2 1 4 (2) - cost (2) cost - 83 t (₂) ¹ (8³) (83) sin 9 1 4 1 9 1 1 83 ¹1 ₁ (3) sin(2) cost-(33) sint t 4 4 9
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,