Nonlinear Differential Equation Course
Gain mastery in nonlinear differential equations via population modeling, stability analysis, bifurcation studies, and numerical simulations. Develop robust, practical ODE skills and articulate findings precisely—perfect for math experts pursuing advanced applied knowledge in real-world scenarios.

4 to 360h flexible workload
certificate valid 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. Participants will solve first-order equations using analytical and numerical techniques, conduct parameter scans, evaluate persistence against extinction scenarios, and produce detailed, structured 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 through equilibrium classification, phase line construction, and one-dimensional bifurcations.
- Conduct numerical simulations with Euler and Runge-Kutta methods for challenging population models.
- Communicate technical results via clear, rigorous 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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