Solve the boundary value problems in Problems I through 12. 1. HI = 3#xx, 0 0, "(0,1) = u(m, !) = 0, u(x, 0) = 4 sin 2x 2. Wy = 10 xx: 0 0; ux (0,1) = ux(5,1) = 0, w (x. 0) = 7 3. My = 21xx, 0 0; #(0,1) = #(1,/) = 0, w (x, 0) = 5 sinxx - sin 3xx 4. W/ = Wxx, O 0; "(0,1) = #(x, () = 0. w (x, 0) = 4 sin 4x cos 2x 5. W1 = 21xx, 0 0; ux(0,1) = ux (3,1) = 0, w (x, 0) = 4cos #x - 2cos nx 6. 2#, = Wxx, 0 0; w(0,1) = #(1,/) = 0. w(x. 0) = 4 sin x x cos xx 7. 3#, = Wxx, 0 0; ux (0,1) = Wx(2,1) = 0. w(x.0) = cos 2xx161 2 7. u(x, 1) NIH exp COS 4X X 3