Ordinary Differential Equations Course
This course teaches modeling and solving ordinary differential equations using a falling body with linear drag, covering analytical and numerical methods, parameter estimation, and technical reporting.

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 outcomes using a straightforward falling-body setup with linear drag. You'll pick realistic parameters from reliable sources, work out the main ODE using Newton’s laws, and solve it both analytically and numerically with Euler, Heun, and RK4 methods. Learn to check accuracy, make sense of terminal velocity and time scales, and put together neat, well-organised technical notes for folks who aren't specialists.
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 proper 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 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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