2. Solve the initial value problem x' = Ax for t>= 0 with x(0) = (4, 3). Classify the nature of the origin as an attractor, repeller, or a saddle point of the dynamical system described by x'=Ax. Find the direction of the greatest attraction and or/ repulsion. When the origin is a saddle point, sketch a typical trajectory. A = 3 -21