Please answer all, the eigen values should be complex number

Name.. Find the real valued solutions of the following system of linear differential equations. -2 (1) (10 pts) = dt 2 (2) (10 pts) * = dt (3) (10 pts) dt (4) (6 pts) For each of the above systems in (1), (2) and (3), analyze the equilibrium at the origin. I.e, state the type and local stability