##  [Separation of Variables](/separation-variables) 

  ##  [Separation of Variables](https://puremath.quantumdictionary.io/separation-variables-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A solution technique for linear partial differential equations that assumes a solution can be factorized into functions each depending on a single coordinate or a subset of coordinates, reducing a PDE to a family of ordinary differential equations via introduction of separation constants.