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Nonlinear Differential Equation Course

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

What will I learn?

This Nonlinear Differential Equation Course gives you practical tools to analyze equilibria, stability, and bifurcations in scalar models, with a strong focus on population dynamics and harvesting. You will practice solving first-order equations analytically and numerically, design parameter scans, interpret persistence versus extinction, and present rigorous, well-structured reports that clearly communicate model behavior and results.

Elevify advantages

Develop skills

  • Model nonlinear populations: build and analyze logistic-with-harvesting ODEs.
  • Solve nonlinear ODEs: apply separation, exact methods, and partial fractions fast.
  • Analyze stability: classify equilibria, phase lines, and one-dimensional bifurcations.
  • Run numerical experiments: implement Euler and Runge–Kutta for stiff population models.
  • Communicate results: write 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 workload.
Workload: between 4 and 360 hours

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