In: Advanced Math
Find an expression for the temperature u(x,t) in a rod of length π, if the diffusivity (k) is 1, the ends x= 0 and x=π are both thermally insulated and the initial temperature is given by
u(x,0) ={2x/π , 0 < x < π/2}
u(x,0) ={1 , π/2 < x < π}