Nonlinear Differential Equation Course
Master nonlinear differential equations using population models, stability analysis, bifurcations, and numerical techniques. Develop rigorous real-world ODE analyses and communicate results effectively—perfect for mathematics professionals desiring advanced applied knowledge.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course equips you with practical tools to analyse equilibria, stability, and bifurcations in scalar models, emphasising population dynamics and harvesting. You will solve first-order equations analytically and numerically, conduct parameter scans, interpret persistence versus extinction, and produce rigorous reports clearly conveying 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, phase lines, and one-dimensional bifurcations.
- Conduct numerical experiments with Euler and Runge-Kutta methods for stiff population models.
- Communicate results through clear, rigorous interpretations 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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