Thread: Solving a differential equation

I have the following differential equation



where , and are constants and is a function of
. I want to solve it for analytically (if possible) or numerically.

Note: the second term is .

Hey JulieK.

The first hint I would suggest is to multiply both sides by X. Also is Y independent of X and t?

Hi Chiro

Many thanks!
What is the advantage of multiplying both sides by X.
Y is dependent on both X and t.

By the way, I obtained the following relation which may help to find a solution



where is a constant and is a known function of with
a closed analytical form.

With regard to the hint, you might want to try differentiating your hint function and then compare this to the structure of the DE to obtain the O function.