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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.

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# Homework Help: Definition of a linear differential equation

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