HL AI – Differential Equations

First Order

Phase Portraits

Euler's Method 1

Euler's Method 2

Coupled Equations

Differential Review

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Learning Outcomes
Understand and use first order differential equations.
Numerical solutions to differential equations using Euler’s method.
Separating variables to solve differential equations.
Numerical solutions with coupled systems.
Phase portrait for the solutions of coupled differential equations.
Qualitative analysis of future paths for distinct, real and imaginary eigenvalues.
Sketching trajectories and using phase portraits to identify special points.
Solutions of the second differential by use of Euler’s method.