Ordinary Differential Equations Course
This course explores ordinary differential equations through a practical falling-body system with linear drag, covering modeling, analytical and numerical solutions, parameter selection, and technical communication.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Ordinary Differential Equations Course takes you from physical modelling to clear results using a simple falling-body system with linear drag. You will pick realistic parameters from reliable sources, derive the governing ODE from Newton’s laws, and solve it analytically and numerically with Euler, Heun, and RK4. Learn to check accuracy, interpret terminal velocity and time scales, and present concise, well-structured technical notes for non-specialist audiences.
Elevify advantages
Develop skills
- ODE modelling from Newton’s laws: build clear first-order systems for drag motion.
- Analytical ODE solving: derive v(t), y(t), and terminal velocity with rigour.
- 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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