Nonlinear Differential Equation Course
Dive into nonlinear differential equations using population models to explore stability, bifurcations, and numerical techniques. Develop strong skills in creating precise ODE analyses for real-world applications and presenting findings clearly, perfect for maths experts wanting advanced practical knowledge.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Gain practical skills to examine equilibria, stability, and bifurcations in scalar nonlinear models, emphasising population dynamics and harvesting strategies. Master analytical and numerical solutions for first-order equations, conduct parameter scans, assess persistence against extinction, and produce detailed reports that effectively convey model outcomes and behaviours.
Elevify advantages
Develop skills
- Model nonlinear populations by constructing and evaluating logistic-with-harvesting ODEs.
- Solve nonlinear ODEs quickly with separation of variables, exact solutions, and partial fractions.
- Analyse stability through equilibrium classification, phase lines, and one-dimensional bifurcations.
- Conduct numerical simulations using Euler and Runge-Kutta methods for challenging population models.
- Present results with clear, precise explanations tailored for technical readers.
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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