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Consider the diffusion equation u/t=2u/x2 for x(0,1),and t>0 subject to boundary conditions u/x (0,t>0)=u/x (1,t>0)=0. (a)[15 marks]Solve the diffusion equation stated above subject to the

Consider the diffusion equation

u/t=2u/x2 for x(0,1),and t>0

subject to boundary conditions

u/x (0,t>0)=u/x (1,t>0)=0.

(a)[15 marks]Solve the diffusion equation stated above subject to the initial conditions u(x, t= 0) = cos(2x).

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