Evaluate the differential equation dx/dt=Bx (assuming that x is a function of t) by determining the eigenvalues and eigenvectors of B. Assume B is the three-dimensional matrix below. (-4 1 1 ) (1 5 -1) (0 1 -3)

Evaluate the differential equation dx/dt=Bx (assuming that x is a function of t) by determining the eigenvalues and eigenvectors of B. Assume B is the three-dimensional matrix below. (-4 1 1 ) (1 5 -1) (0 1 -3)

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

Evaluate the differential equation dx/dt=Bx (assuming that x is a function of t) by determining the eigenvalues and eigenvectors of B. Assume B is the three-dimensional matrix below.

(-4 1 1 )

(1 5 -1)

(0 1 -3)

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

Expert Solution

Step 1

first we will find the eigenvalues and corresponding eigenvectors of B then by using these eigenvalues and eigenvectors we will form the solution of differential equation.

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