# Differential Equation Problem. HELP

1. Jan 7, 2010

### chanda0218

Differential Equation Problem. HELP!!!

Ok I have the problem with the 2 Dimensions transient heat conduction equation.
$$\frac{du}{dt}= k\left(\frac{d^2u}{dx^2}+ \frac{d^2u}{dy}^2\right)$$
. I can solve it in the temporal space but actually I need to know how it beheave in the frequency space...... any suggestions? i tried laplace combine with a separation of variable but i didnt reach to anywhere.....

Last edited by a moderator: Jan 7, 2010
2. Jan 7, 2010

### HallsofIvy

Staff Emeritus
Re: Differential Equation Problem. HELP!!!

It is generally the Fourier transform that is used to convert to "frequency space".

3. Jan 7, 2010

### chanda0218

Re: Differential Equation Problem. HELP!!!

Mmmm indeed to solve that one in a time space one must use Furier Series, so how can I use the Furier transform to pass it to the frequency domain? i need to find how it beheave in term of the frequency w (omega)
Thank you though