Nonlinear Differential Equation Course
Gain mastery in nonlinear differential equations via population models, stability analysis, bifurcations, and numerical techniques. Develop robust, practical ODE analyses and communicate findings clearly—perfect for maths professionals wanting applied depth in real-world scenarios.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course equips you with practical tools to examine equilibria, stability, and bifurcations in scalar models, emphasising population dynamics and harvesting. You'll solve first-order equations both analytically and numerically, conduct parameter scans, interpret persistence versus extinction outcomes, and produce rigorous, structured reports that effectively convey model behaviour and findings.
Elevify advantages
Develop skills
- Model nonlinear populations by constructing and analysing logistic-with-harvesting ODEs.
- Solve nonlinear ODEs using separation of variables, exact methods, and partial fractions efficiently.
- Analyse stability by classifying equilibria, drawing phase lines, and studying one-dimensional bifurcations.
- Conduct numerical experiments with Euler and Runge-Kutta methods for stiff population models.
- Communicate results through clear, rigorous reports tailored 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 workload.What our students say
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