Unsteady-state diffusion/heat conduction): consider the dimensionless form of the unsteady-state diffusion equation∂u/ ∂t = ∂ 2u/ ∂x2 ; t > 0, 0 < x < πwith boundary and initial conditions∂u/ ∂x(0, t = 0; ∂u/ ∂x(π, t) = 0; u(x.0) = f(x)where f(x) is the function defined in problem 101 (picture attached as well). solve the equation and show some schematic profiles of u(x, t) for small and large times.