near Methods

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

Linear Methods

4. Find the general solution of the system of differen-
tial equations
d
X =
dt
14 -4
X
5
10
2 cos(4t) – 4 sin(4t) )
5 cos(4t)
4 cos(4t) + 2 sin(4t)
5 sin(4t)
+ 4t³e!2t
+ 8t'e!2t
Hint: The characteristic polynomial of the coefficient
matrix is (A – 12)² + 4².
Transcribed Image Text:4. Find the general solution of the system of differen- tial equations d X = dt 14 -4 X 5 10 2 cos(4t) – 4 sin(4t) ) 5 cos(4t) 4 cos(4t) + 2 sin(4t) 5 sin(4t) + 4t³e!2t + 8t'e!2t Hint: The characteristic polynomial of the coefficient matrix is (A – 12)² + 4².
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Matrix Factorization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
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,