Differential Equation Problem. HELP

[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...

Thank you in advance

 

[HallsofIvy]

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

 

[chanda0218]

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