Differential Equations Course
Gain mastery in differential equations by working with actual vibration models, studying resonance and frequency response. Develop skills to select parameters, solve linear ODEs, and present findings clearly, enabling confident, evidence-based decisions in engineering and mathematics.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course equips you with practical tools to model single-degree-of-freedom vibration systems, choose realistic parameters, and solve linear ordinary differential equations for both forced and free responses. You'll explore resonance, frequency response, and transmissibility, applying straightforward decision rules and reporting methods to support design choices with precise, repeatable calculations.
Elevify advantages
Develop skills
- Build SDOF vibration models by deriving mass, damping, and stiffness ODEs from physical systems quickly.
- Select realistic mass, damping, and stiffness values using datasheets, handbooks, and consistent units.
- Solve linear ODEs for vibration analysis, calculating natural frequency, damping ratio, and steady-state responses.
- Analyze resonance and transmissibility with frequency response functions, Bode plots, and quality factors.
- Present vibration designs effectively using plots, tables, and reproducible calculations.
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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