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Join me on Coursera: Calculus for Engineers: Mathematics for Engineers: ... MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: ... Consider the linear system of ordinary differential equations dx/dt = x' = -2x - 2y, dy/dt = y' = -x - 3y. The x-nullcline (where dx/dt = 0 ... ... 12:24 Second fixed point: An unstable saddle 15:01 Drawing full global WEB: This lecture is part of a series on advanced differential equations: ...

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Phase plane analysis
Phase plane
Use Nullclines to Sketch the Phase Portrait for a Linear System of ODEs, Solve w/ Matrix Exponential
Systems of Differential Equations: Phase Plane
sketching phase portraits
Drawing Phase Portraits for Nonlinear Systems
Phase-plane analysis for nonlinear dynamics
Sec. 6.2 Equilibrium Solutions and Phase Plane
Phase Plane Pictures: Spirals and Centers

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Last Updated: June 19, 2026

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