Nonlinear Differential Equation Course
Gain mastery over nonlinear differential equations via population modelling, stability analysis, bifurcation studies, and numerical techniques. Develop robust real-world ODE skills and articulate findings precisely—perfect for maths experts aiming for advanced practical knowledge in applied mathematics.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course equips you with essential tools to examine equilibria, stability, and bifurcations in scalar nonlinear models, emphasising population dynamics and harvesting strategies. Learners will gain proficiency in solving first-order equations both analytically and numerically, conducting parameter scans, interpreting persistence against extinction scenarios, and producing 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 solutions, and partial fractions efficiently.
- Analyse stability by classifying equilibria, drawing phase lines, and studying one-dimensional bifurcations.
- Conduct numerical simulations 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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