Phase Portrait of a Linear System of Differential Equations
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YouTubeBill Kinney
Phase Portrait of a Linear System of Differential Equations
Use nullclines to sketch the phase portrait in the phase plane for the linear system dx/dt = -2x-2y, dy/dt = -x-3y. The equilibrium point at the origin is a sink. Straight line solutions are inferred from the rest of the phase portrait. DSolveValue and MatrixExp can confirm the solutions with Mathematica, based on the unique solution of dY/dt ...
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