Hi,(adsbygoogle = window.adsbygoogle || []).push({});

In physics, many PDEs' equation can be reduced to a number of ODEs' equations by "Separation of Variables".

According to my knowledge, "Separation of Variables", it just subsitutes the function, for example F(x,y,z), by a product of three function, X(x)Y(y)Z(z).

Why does it work? I mean it is legitimate? How do we know the function F(x,y,z) can be factorized?

Thx.

Will.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Separation of Variables

**Physics Forums | Science Articles, Homework Help, Discussion**