Differential Equations Course
This course provides essential skills for modeling and analyzing single-degree-of-freedom vibration systems using differential equations, including parameter selection, solving ODEs, resonance analysis, and clear presentation of design decisions.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Differential Equations Course equips you with practical tools for modelling single-degree-of-freedom vibration systems, choosing realistic parameters, and solving linear ODEs for forced and free responses. You will examine resonance, frequency response, and transmissibility, then use straightforward decision guidelines and reporting methods to back up design decisions with precise, repeatable calculations.
Elevify advantages
Develop skills
- Build SDOF vibration models: derive m, c, k ODEs from physical systems quickly.
- Select realistic m, c, k: use datasheets, handbooks, and unit-consistent values.
- Solve linear ODEs for vibration: compute ω_n, ζ, and steady-state responses.
- Analyze resonance and transmissibility: use FRFs, Bode plots, and Q factors.
- Present vibration designs clearly: plots, tables, and reproducible calculations.
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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