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I have a 1-D diffusion equation with decay as

dA/dt = d

^{2}A/dx

^{2}-L*A

with initial condition C(x,0)=C0=exp(-ax)

and boundary condition= -Ddc/dx = I0

where L= decay constant

A = certain concentration

the concentration A is not in equilibrium. We can solve the above equation for equilibrium putting dA/dt=0.

The equilibrium concentration can be reached in time t.

How can I determine the time that it takes to reach equilibrium concentration?

Thank you

help would be greatly appriciated