Mathematics: Applications and Interpretation · Topic 5: Calculus

AHL5.17 — Phase portraits and eigenvalues

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AIAHL5.17.1

   Exact solutions via eigenvalues

   Solving $\tfrac{d}{dt}\mathbf{x}=M\mathbf{x}$ for real distinct eigenvalues.

2. AIAHL5.17.2

   Phase portraits and classifying behaviour

   Trajectories, equilibrium and stability from the eigenvalues.