What is the procedure or what are the steps to be carried out here:
The answer is given as and
I don't know how to get to the answer, i have done seperation of variables, but not when i have a derivative as a denominator!
This produces 2 equations
and
This can become
To solve both,
let
let
Therefore the first equation becomes
Hence,
Of course the co-efficient is just a constant to represent the general solution. Which can be re-written in the form that they gave you.
The same follows for the Y equation!