Hi, I need help solving this PDE for p(x,t), I don't need working, just want a solution (although feel free to send working if you want).

The PDE is, (with derivatives as partial derivatives)

dp/dt + (1-2p)*dp/dx = a (for 0<x<1)

= 0 (for all other x values)

where "a" is a constant

the conditions are t> or =0 , and p(x,0)=1/2

thanks heaps in advance

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