- #1
Niles
- 1,866
- 0
Homework Statement
Hi all. Is the following definition of a partial linear differential equation correct?
A partial differential equation is called linear if no products of the function and/or its derivatives occur, and if the unknown function and its partial derivatives occur only to the first degree.
I am a little worried about the "and/or" regarding products in the DE. Is it correct that the following term is NOT allowed in a linear differential equation?:
[tex]
\frac{\partial u}{\partial x}\frac{\partial u}{\partial t}
[/tex]
- and can you confirm the validity of the "and/or" in my definition? Thanks in advance.
sincerely,
Niles.