Nonlinear Differential Equation Course
Master nonlinear differential equations using population models, stability analysis, bifurcations, and numerical techniques. Develop rigorous ODE analyses for real-world applications and communicate findings effectively—perfect for maths professionals advancing in applied areas.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
Gain practical skills to analyse equilibria, stability, and bifurcations in scalar models, focusing on population dynamics and harvesting. Master analytical and numerical solutions for first-order equations, parameter scans, persistence-extinction interpretations, and structured reports on model behaviour.
Elevify Advantages
Develop Skills
- Model nonlinear populations: construct and analyse logistic-with-harvesting ODEs.
- Solve nonlinear ODEs: use separation, exact methods, and partial fractions efficiently.
- Analyse stability: classify equilibria, phase lines, and one-dimensional bifurcations.
- Conduct numerical experiments: apply Euler and Runge-Kutta to stiff population models.
- Communicate results: produce clear, rigorous reports for technical audiences.
Suggested Summary
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