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!

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- April 19th 2010, 10:18 AMpunkstartUsing seperation of variables?
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! - April 19th 2010, 11:01 AMAllanCuz
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!