 ##  [Ordinary Differential Equation](/ordinary-differential-equation) 

  ##  [Ordinary Differential Equation](https://natural.quantumdictionary.io/ordinary-differential-equation-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural &amp; Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An equation that relates an unknown function of a single independent variable to one or more of its derivatives, prescribing local rates of change that determine the function's evolution under initial or boundary conditions.

 

 

 

 

 





 

 



 ##  [Ordinary Differential Equation](https://mathlogic.quantumdictionary.io/ordinary-differential-equation-1) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An equation that relates an unknown function of a single independent variable to one or more of its ordinary derivatives; used to model rates of change in systems depending on a single continuous parameter such as time.