Consider one-dimensional transient conduction in a plate of thickness L which is initially at uniform temperature To. At time t 0 one side exchanges heat by convection with an ambient fluid at T while the other side is maintained at T. The conductivity is k, heat transfer coefficient is h and the thermal diffusivity is a. Determine the transient temperature. T(0,t)=T -kTx(L,t)= h[T(L,t)-T] X T(x,0)=7