Nonlinear Differential Equation Course
Gain mastery in nonlinear differential equations via population modeling, stability analysis, bifurcation studies, and numerical solutions. Develop robust ODE analyses for real-world applications and communicate 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 tools to examine equilibria, stability, and bifurcations in scalar nonlinear models, emphasizing population dynamics and harvesting strategies. Learners will solve first-order equations using analytical and numerical techniques, conduct parameter scans, interpret persistence and extinction outcomes, and produce detailed reports that effectively convey model behaviors and findings.
Elevify advantages
Develop skills
- Model nonlinear populations by constructing and examining logistic-with-harvesting ODEs.
- Solve nonlinear ODEs efficiently using separation of variables, exact solutions, and partial fractions.
- Analyze stability by categorizing equilibria, drawing phase lines, and studying one-dimensional bifurcations.
- Conduct numerical simulations with Euler and Runge-Kutta methods for challenging population models.
- Communicate scientific results through clear, precise 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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