Differential Equations › Section C · Second order differential equations › Topic C.8
Nonhomogeneous equations
Once an outside influence such as a driving force or an applied voltage appears, the equation is no longer homogeneous. Its solutions still have a simple structure: the system's own natural behaviour plus any one response to the input.
In this topic
- Adding an input
- The key fact
- The general solution
- Worked example: a constant input
- Initial conditions go on the whole solution
- Worked example: a linear input
- Particular solutions are not unique
- Splitting the input
- Common mistakes to avoid
- Key takeaways
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