External Links: Linear Planar Systems

Zero and shears are not discussed.

Title	Summary
Linear Planar Systems: Phase Plane	Paul's On-Line Notes introducing the phase-plane portrait of a homogeneous linear planar system with constant coefficients.
Linear Planar Systems: Real, Distinct Eigenvalues	Paul's On-Line Notes on the phase-plane portrait of a homogeneous linear planar system with constant coefficients when the coefficient matrix has real, distinct eigenvalues. The associated phase portraits are nodal sources, nodal sinks, linear sources, linear sinks, and saddles. Linear sources and sinks are not discussed.
Linear Planar Systems: Complex Eigenvalues	Paul's On-Line Notes on the phase-plane portrait of a homogeneous linear planar system with constant coefficients when the coefficient matrix has conjugate pair of eigenvalues. The associated phase portraits are spiral sources, spiral sinks, and centers.
Linear Planar Systems: Repeated Eigenvalues	Paul's On-Line Notes on the phase-plane portrait of a homogeneous linear planar system with constant coefficients when the coefficient matrix has a double real eigenvalue. The associated phase portraits are radial sources, radial sinks, zero, twist sources, twist sinks, and shears.
Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients	Professor Mattuck (MIT video) shows how to sketch the phase-plane portraits of some typical homogeneous linear planar systems with constant coefficients. He does not consider every type that might arise.

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