1. Solve the equation. dy = 5x4 (6 +12 ) 2 7. solve the following differential equation. (16y2 - xy) dx +x2 dy= 0 2. Solve the initial value problem. 8. solve the following differential equation. x2 dy 4x - x - 3 dx (x + 1 ) (y + 1) ' y(1) =4 dy = 19x+ y - 9 dx 3. Obtain the general solution to the equation. 9. solve the following differential equation. ax + 6x = 2y y dy ay = 3 sin (6x - 2y) 4. Solve the initial value problem. dy _ _ =8xex, y(1) =8e +5 10. solve the following differential equation. dx x dy + y = exy -8 5. Solve the initial value problem. (By e 3xy - 7) ax + ( 3x e 3xy + 3x )dy = 0, y(1) = 3 11. solve the following differential equation. dx x-3= 6. Solve the initial value problem. ( tan (4y) - 1)dx + 4xsec 2(4y) + y dy= 0, y(0) =1