By using separation of variables, show that the solution for the follow- ing heat equation with mixed boundary condition

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By Using Separation Of Variables Show That The Solution For The Follow Ing Heat Equation With Mixed Boundary Condition 1 (22.86 KiB) Viewed 14 times

By using separation of variables, show that the solution for the follow- ing heat equation with mixed boundary condition is given by du 8²u Əx²¹ Ət u(0,t)=0, u(x, 0) = 1, 0<x< 1, t> 0, z(1,t)=0, t>0, 0<x< 1, 4 u(x, t) = (2n-1) sin n=1 (2n-1)πx (2n-1²-²1 2