Unsteady State Diffusion with a First-Order Reaction

Example 4.7. Unsteady State Diffusion with a First-Order Reaction 

Consider the transient diffusion problem. [6] The governing equation is 

4 Partial Differential Equations in Semi-infinite Domains 

Here again Maple cannot find the inverse Laplace transform invlaplace(U(x),s,t)  

From the property of the Laplace transform, [7] we know that if L F(s) = f(t) 

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