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b) Consider the folowing heat equation 8² u əx²¹ Ju Ət with boundary conditions 0≤x≤ 40, t> 0, ux(0, t) = 0, ux(40, t) =
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answerhappygod
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b) Consider the folowing heat equation 8² u əx²¹ Ju Ət with boundary conditions 0≤x≤ 40, t> 0, ux(0, t) = 0, ux(40, t) =
b) Consider the folowing heat equation 8² u əx²¹ Ju Ət with boundary conditions 0≤x≤ 40, t> 0, ux(0, t) = 0, ux(40, t) = 0, t>0, and initial condition πX 40 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)