Question

Verify the system dX/dt=AX is stable or not where { 1 -2 ] also find the eigen vectors. [ -5 4 ]

Answer 1

Step-by-step explanation:

Consider the coupled linear system x y i) Write this system in the fornm 3y-4x 5y-62. = = dx dt ii) Find the eigenvalues and eigenvectors of A. What is the stability type of iii) Decouple the system (1) above by means of an appropriate coordinate iv) Find the general solution of (1) and draw a phase portrait (remember to the origin? transformation label everything

Answer 2

Answer:

Step-by-step explanation:

Consider the coupled linear system x y i) Write this system in the fornm 3y-4x 5y-62. = = dx dt ii) Find the eigenvalues and eigenvectors of A. What is the stability type of iii) Decouple the system (1) above by means of an appropriate coordinate iv) Find the general solution of (1) and draw a phase portrait (remember to the origin? transformation label everything