Nonlinear Differential Equation Course
Dive into nonlinear differential equations using population models, covering stability analysis, bifurcations, and numerical techniques. Develop strong ODE skills for real applications and communicate findings effectively—perfect for maths experts wanting practical depth in dynamic systems.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain hands-on skills to examine equilibria, stability, and bifurcations in scalar nonlinear models, especially population dynamics and harvesting. Master analytical and numerical solutions for first-order equations, parameter sweeps, persistence-extinction analysis, and crafting precise reports that explain model outcomes clearly.
Elevify advantages
Develop skills
- Model nonlinear populations: construct and analyse logistic-with-harvesting ODEs.
- Solve nonlinear ODEs: use separation, exact solutions, and partial fractions efficiently.
- Analyse stability: identify equilibria, draw phase lines, and study one-dimensional bifurcations.
- Conduct numerical experiments: apply Euler and Runge-Kutta methods to stiff population models.
- Communicate results: produce clear, rigorous reports for technical audiences.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workloadWhat our students say
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