Answered: Find a general solution of the system…

Find a general solution of the system x'(t) = Ax(t) for the given matrix A. A= -48 -15 45 24 9 -21 -50 - 15 47 Write the characteristic equation for the given matrix A.

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

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Need help with this problem type please. I know that the required general solution should involve 3 separate matrices.

Find a general solution of the system x'(t) = Ax(t) for the given matrix A.
-48-15
45
24 9 -21
47
- 50 - 15
Write the characteristic equation for the given matrix A.
(Type an equation using r as the variable.)

Expert Solution

Step 1: Our Aim

We have to find the characteristic equation, the eigen values and corresponding eigenvectors for the given matrix. Then we have to write the general solution using the eigen values and eigenvectors.

Step by step

Solved in 7 steps with 6 images

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