Core unitUnit 6 of 24
Differential Equations
Learn how mathematical equations model dynamic systems such as population growth, motion, and electrical circuits.
Difficulty
Beginner
Estimated study
200 hours
Duration
Self-paced
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About this unit
Unit overview
This unit examines ordinary differential equations as models of changing systems. You will solve important classes of equations, interpret solution behaviour and connect analytic, qualitative and numerical approaches.
Learning outcomes
What you’ll learn
- 01Solve first-order differential equations using standard methods
- 02Analyse linear systems of differential equations
- 03Model physical and biological systems with initial-value problems
- 04Interpret phase portraits, stability and numerical approximations