Phase Plane & Time Plots for 2-dimensional Linear ODE's by Mike Martin

On this page, stream plots and a solution curve are generated for the phase plane associated with a system of two 1^{st}-order autonomous, linear, constant-coefficient homogeneous ordinary differential equations. Plots of the solution curves as functions of time are given below the phase plane, too. The equations are of the form:

y ' (t) = x (t) + y (t)

x (0) = y (0) =

Enter in the value of the parameters (above) and select the plotting bounds (below), then press the "Plot/Evaluate" button.

≤ t ≤

≤ x ≤

≤ y ≤

References:

Wikipedia's Phase Portrait MathWorld's Phase Portrait DFIELD & PPLANE -- web utilities Community of Ordinary Differential Equations Educators

MathWorld's Phase Portrait

DFIELD & PPLANE -- web utilities

Community of Ordinary Differential Equations Educators