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Nonlinear Differential Equation Course

Nonlinear Differential Equation Course
flexible workload of 4 to 360h
valid certificate in your country

What will I learn?

Gain hands-on skills to examine equilibria, stability, and bifurcations in scalar nonlinear models, especially population dynamics and harvesting. Master analytical and numerical solutions for first-order equations, parameter sweeps, persistence-extinction analysis, and crafting precise reports that explain model outcomes clearly.

Elevify advantages

Develop skills

  • Model nonlinear populations: construct and analyse logistic-with-harvesting ODEs.
  • Solve nonlinear ODEs: use separation, exact solutions, and partial fractions efficiently.
  • Analyse stability: identify equilibria, draw phase lines, and study one-dimensional bifurcations.
  • Conduct numerical experiments: apply Euler and Runge-Kutta methods to stiff population models.
  • Communicate results: produce clear, rigorous reports 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
Workload: between 4 and 360 hours

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