1: Find the solution u ( x, t ) of the problem u 2u k 2 ru q (t ) t x 0 x L, 0t u (0, t ) 0 u ( L, t ) 0 u ( x, 0) 0 1 0 where q (t ) 0t 2 2t and r is constant Question 2: Find the solution of the problem u 2u k 2 0 t x u (0, t ) A(t ) u ( L, t ) B (t ) u ( x, 0) 0 0 x L, 0t