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b) Consider the folowing heat equation Ju J²u Ət əx²¹ = with boundary conditions and initial condition 0≤x≤ 40, t> 0, ur
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b) Consider the folowing heat equation Ju J²u Ət əx²¹ = with boundary conditions and initial condition 0≤x≤ 40, t> 0, ur
b) Consider the folowing heat equation Ju J²u Ət əx²¹ = with boundary conditions and initial condition 0≤x≤ 40, t> 0, ur(0, t) = 0, u,(40, t) = 0, TX 40 t> 0, u(x,0) = sin 0 < x < 40. Find the solution u(x, t) using the method of separation of variables by setting u(x, t) = X(x)T(t). (15 marks)