Question: how to solve an inverse problem with maple

i have the following transient heat conduction  equation:

dT/dt = a * d^2T/dx^2

now i have:

T(0,t ) = k1(t) : boundary condition

T(L,t) = k2(t) : boundary condtion

T(x,0) = k3(x) : initial condition

and

T(x,t) : solution at all the time

how to find out

a ?

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