Mathematics: Applications and Interpretation · Topic 5: Calculus

AHL5.16 — Euler's method and coupled systems

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

1. AIAHL5.16.1

   Euler's method for first order equations

   Stepping along tangents to approximate $\tfrac{dy}{dx}=f(x,y)$.

2. AIAHL5.16.2

   Numerical solution of coupled systems

   Two linked rates $\tfrac{dx}{dt}$ and $\tfrac{dy}{dt}$, e.g. predator-prey.