A large plate of thickness L$,$ thermal conductivity k$,$ density $,$ and specific heat C$,$ generates heat at a constant rate of egen. One side of the plate is exposed to fluidmaintained at T$1$ and the other side of the plate is exposed to fluid maintained at T$2.$ The fluid has some heat transfer coefficient, h$.$ Using a shell balance approach, develop an expression for T within the plate as a function of x$.($Hint: be sure to state your boundary conditions and any necessary assumptions$)$