The temperatures at both ends x=0 cm and x=60 cm of an insulated metal rod 60 cm in length with thermal diffusivity D are held at 35C. The only heat transfer is happening at the ends of the rods. At time t=0, the temperature is given by T(x) = 485 - 15 |x-30| C (thats an absolute value sign around x-30, so that the temperature peaks at 485 x=30 in the middle and goes down at each end). Analytically find the temperature distribution as a function of time and space