SMA 2371: PARTIAL DIFFERENIAL EQUATIONS November 28, 2023 Solve the following heat distribution equation by the method of separation of variables. 2 u 2 u 0 x 2, t > 0 c t x 2 u(0, t ) u(2, t ) 0 t > 0 and u ( x,0) x 2 NB: Kindly submit this work by the end of today’s lecture.