Answer Happy

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