Ordinary Differential Equations Course
Master ordinary differential equations through a concrete falling‑body model. Derive ODEs from Newton’s laws, solve analytically and numerically, interpret terminal velocity, and present clear, engineering‑ready results grounded in real data.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This Ordinary Differential Equations Course guides you from physical modeling to clear results using a simple falling‑body system with linear drag. You will select realistic parameters from trusted sources, derive the governing ODE from Newton’s laws, and solve it analytically and numerically with Euler, Heun, and RK4. Learn to assess accuracy, interpret terminal velocity and time scales, and present concise, well‑structured technical notes for non‑specialist audiences.
Elevify advantages
Develop skills
- ODE modeling from Newton’s laws: build clear first-order systems for drag motion.
- Analytical ODE solving: derive v(t), y(t), and terminal velocity with rigor.
- Numerical integration skills: implement Euler, Heun, and RK4 for fast simulations.
- Parameter estimation: choose realistic m, c, g values and document literature sources.
- Technical reporting: present ODE results and limitations to engineers in plain English.
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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