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Nonlinear Differential Equation Course

Nonlinear Differential Equation Course
from 4 to 360h 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 growth and resource harvesting. Master analytical and numerical solutions for first-order equations, conduct parameter studies, assess persistence against extinction, and produce detailed reports that effectively convey model outcomes and insights.

Elevify advantages

Develop skills

  • Model nonlinear populations by constructing and evaluating logistic growth with harvesting ODEs.
  • Solve nonlinear ODEs efficiently using separation of variables, exact solutions, and partial fractions.
  • Analyse stability through equilibrium classification, phase line diagrams, and one-dimensional bifurcations.
  • Conduct numerical simulations with Euler and Runge-Kutta methods tailored for stiff population dynamics.
  • Communicate scientific results with clear, precise reports suited to expert 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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