How to integrate this partial differential equation

I have the following equation

where is a function of and is a function of . If I integrate this equation first with respect to should I get a function of as the constant of integration (say ) or it is just a constant? If it is a function, how can I then find its form (e.g. polynomial, etc.)? Should I use boundary conditions or I can decide about the form from inspecting the type of the equation.

Re: How to integrate this partial differential equation

Quote:

Originally Posted by

**JulieK** I have the following equation

where

is a function of

and

is a function of

. If I integrate this equation first with respect to

should I get a function of

as the constant of integration (say

) or it is just a constant? If it is a function, how can I then find its form (e.g. polynomial, etc.)? Should I use boundary conditions or I can decide about the form from inspecting the type of the equation.

Unless you have some boundary conditions now, this is the simplest it's going to get.