The problem is defined by following three elements:
- ODE:
,
- Domain:
,
- Initial condition:
.
Using the Fourier transform one gets to the solution:
.](https://s0.wp.com/latex.php?latex=u%28x%2Ct%29+%3D+%5Cfrac1%7B%282%5Cpi%29%5E%5Cmu%7D+%5Cint_%7B%5CBbb+R%7D+e%5E%7B-ipx-kp%5E2t%7D%7B%5Cbf+F%7D%5Bf%5D%28p%29.&bg=ffffff&fg=000000&s=0 "u(x,t) = \frac1{(2\pi)^\mu} \int_{\Bbb R} e^{-ipx-kp^2t}{\bf F}[f](p).")
For example, for 
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The problem is defined by following three elements:
,,. Using the Fourier transform one gets to the solution:
For example, for
