Consider the first-order homogeneous system of linear differential equations
‪
(i) For what real values of α does this system have complex eigenvalues?
(ii) What do the solution trajectories look like for the values of α found in part (i)?

Question

Consider the first-order homogeneous system of linear differential equations
‪  
(i) For what real values of α does this system have complex eigenvalues?
(ii) What do the solution trajectories look like for the values of α found in part (i)?

Quizplus · Accepted Answer

The Answer of Consider the first-order homogeneous system of linear differential equations
‪  
(i) For what real values of α does this system have complex eigenvalues?
(ii) What do the solution trajectories look like for the values of α found in part (i)?

Consider the First-Order Homogeneous System of Linear Differential Equations