Consider the initial value problem dx 6 -2 9 e p 0 = dt [20 ] x, x(0) H (a) Find the eigenvalues and eigenvectors for the coefhcient matrix. A= ,'31= ,and)'2= ,z= (b) Solve the initial value problem. Give your solution in real form. x(t) = Determine the shape and orientation of solution curves algebraically. An ellipse with clockwise orientation + 1. Describe the trajectory