Consider the partial differential equation for heat in a one- dimensional rod with temperature u(x,t): t +1.1x-. Assume initial condition: u(x, 0) = 0.2x sin (7) 2 and boundary conditions: (0,t) = 0 (2,t) = 0 For what values of are there solutions to this heat equation? = Determine the equilibrium temperature distribution. u(x) = =