 ##  [Initial Value Problem](/initial-value-problem) 

  ##  [Initial Value Problem](https://mathlogic.quantumdictionary.io/initial-value-problem-0) 

  
 [![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

A differential equation together with specified values of the unknown function (and possibly derivatives) at an initial point or time, used to determine a unique forward (or backward) evolution trajectory from those starting data.