Nonlinear Differential Equation Course
Gain mastery in nonlinear differential equations via population modelling, stability analysis, bifurcation studies, and numerical solutions. Develop robust ODE analyses applicable to real scenarios and articulate findings precisely—perfect for mathematics experts aiming for advanced practical knowledge in applied contexts.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course equips you with essential techniques to examine equilibria, stability, and bifurcations in scalar nonlinear models, emphasising population dynamics and harvesting strategies. Learners will solve first-order equations using analytical and numerical approaches, conduct parameter scans, assess persistence against extinction, and produce detailed reports that effectively convey model outcomes and behaviours.
Elevify advantages
Develop skills
- Model nonlinear populations by constructing and evaluating logistic-with-harvesting ODEs.
- Solve nonlinear ODEs efficiently using separation of variables, exact solutions, and partial fractions.
- Evaluate stability by identifying equilibria, drawing phase lines, and studying one-dimensional bifurcations.
- Conduct numerical simulations with Euler and Runge-Kutta methods for challenging population models.
- Present results through precise, structured reports tailored for 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.What our students say
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