Solutions of 2x2 Homogeneous Linear System.

Description
"The (x,y) plane (the ""phase plane"")
with trajectories of solutions of u' = Au drawn on it is called as Phase portrait. The Eigenvalues rule, trace-determinant plane Marginal cases and the Stability are discussed in this video module. Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients are explained with examples. Conditions for Asymptotically stable, Neutrally stable and unstable are discussed.
Prof. Arthur Mattuck, Maths, 18.03.Differential Equations, Spring 2010: 26: Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients: Massachusetts Institute of Technology: MIT Open Course Ware),http://ocw.mit.edu (Accessed November28, 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc