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Solving boundary value problem by using Laplace transformation (Bangla Tutorial).

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Problem: Use Laplace transform to solve the differential equation
du/dt=2.d^2u/dx^2 ; u(0,t)=0 ; u(5,t)=0 and u(x,0)= 10sin4pix.
du/dt=2.d^2u/dx^2 ; u(0,t)=0 ; u(5,t)=0 and u(x,0)= 10sin4pix.