Answer Happy

Problem 3. Prove that the function u(x, t) = et cos x is a solution of the heat equation nu, = Uzz with the initial boundary conditions: for 0≤x≤1 [u(x,0) = cos x u(0,t) = ent u(1.t)=-e-t for 0≤t≤1 for 0≤t≤1