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 maths professionals wanting applied depth in dynamical systems.

from 4 to 360h flexible workload
certificate valid 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 that clearly convey model behaviour and findings.
Elevify advantages
Develop skills
- Model nonlinear populations: construct and analyse logistic-with-harvesting ODEs.
- Solve nonlinear ODEs: use separation of variables, exact methods, and partial fractions efficiently.
- Analyse stability: classify equilibria, draw phase lines, and study one-dimensional bifurcations.
- Conduct numerical experiments: apply Euler and Runge-Kutta methods to stiff population models.
- Communicate results: deliver 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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