Nonlinear Differential Equation Course
Master nonlinear differential equations using population models, stability analysis, bifurcations, and numerical methods. Develop rigorous real-world ODE analyses and communicate findings clearly, perfect for mathematics professionals wanting deeper applied knowledge in dynamics and modelling.

from 4 to 360h 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. Learn to solve first-order equations analytically and numerically, design parameter scans, interpret persistence versus extinction, and produce rigorous reports that clearly convey model behaviour and results.
Elevify advantages
Develop skills
- Model nonlinear populations by building and analysing logistic-with-harvesting ODEs.
- Solve nonlinear ODEs using separation, exact methods, and partial fractions quickly.
- Analyse stability by classifying equilibria, phase lines, and one-dimensional bifurcations.
- Run numerical experiments with Euler and Runge-Kutta for stiff population models.
- Communicate results through clear, rigorous interpretations for technical audiences.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workloadWhat our students say
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