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 .

Printable View

- Mar 5th 2013, 02:32 AMJulieKSolving 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 . - Mar 5th 2013, 07:45 PMchiroRe: Solving a differential equation
Hey JulieK.

The first hint I would suggest is to multiply both sides by X. Also is Y independent of X and t? - Mar 6th 2013, 03:40 AMJulieKRe: Solving a differential equation
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. - Mar 6th 2013, 03:56 PMchiroRe: Solving a differential equation
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.