Nonlinear Differential Equation Course
This course equips you with essential techniques for nonlinear differential equations using population models. Explore stability analysis, bifurcation patterns, and numerical simulations to develop robust ODE solutions. Perfect for maths experts aiming to apply advanced concepts in real-world scenarios, with emphasis on clear technical reporting.

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 using separation of variables, exact solutions, and partial fractions efficiently.
- Analyse stability through equilibrium classification, phase line diagrams, and one-dimensional bifurcations.
- Conduct numerical simulations with Euler and Runge-Kutta methods for challenging population systems.
- Communicate findings via precise, structured reports tailored for expert 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.What our students say
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