how to solve a PDE for semi-infiite medium diffusion

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Hi Guys,
I am new here, and just start to use Matlab for solving some PDEs.
I am encountering a problem which is a simple PDE dC/dt=Dd^2C/dx^2 initial condition: t=0 0<x<infinite C=C0 boundary conditions t>0 x=0 C=C1 x=infinite C=C0
Thank you for the help

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