Question 6 and 7 please

(a) Q(x) = 0, u(0, t) = A, u( L, t) - B (b) Q(x) = sin 12 , U(0, t) = 0, u( L, t) = 0 marks) 6. Solve du a2 u d.x2 te 2 2 sin 5x at subject to u(0, t) - 1, u(7, t) = 0, and u(r, 0) = 0. marks) 7. Solve the following example of Poisson's equation: Vau - ey sin T subject to the following boundary conditions: u(0, y) - 0, u(1, 0) = 0 UT, y) = 0, ur, L) = f(r)