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

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This Ordinary Differential Equations Course takes you from physical modelling to clear outcomes using a straightforward falling-body setup with linear drag. You will pick realistic parameters from reliable sources, work out the main ODE from Newton’s laws, and solve it by hand and with computers using Euler, Heun, and RK4 methods. Learn to check how accurate your solutions are, make sense of terminal velocity and time scales, and put together short, well-organised technical notes for people who are not experts.
Elevify advantages
Develop skills
- ODE modelling from Newton’s laws: put together clear first-order systems for drag motion.
- Analytical ODE solving: work out v(t), y(t), and terminal velocity with care.
- Numerical integration skills: carry out Euler, Heun, and RK4 for quick simulations.
- Parameter estimation: select realistic m, c, g values and note down literature sources.
- Technical reporting: share ODE results and limitations with engineers in simple 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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