In Exercises 1-17 determine which equations are exact and solve them. 6x2y dx +4xy dy = 0 (3y cos x + 4xe* + 2xex) dx + (3 sin x + 3) dy = 0 14x2y dx + 21xy dy = 0 (2x-2y2) dx + (12y - 4xy) dy = 0 1. 2. 3. 4. 5. 7. 8. 9. 10. 11. 12. 13. 2.5 Exercises 14. 15. (x + y) dx + (x + y) dy=0 6. (-2y sin x + 3y 2x) dx + (4y cos x + 9xy) dy = 0 (2x + y) dx + (2y + 2x) dy = 0 (3x2 + 2xy + 4y2) dx + (x + 8xy + 18y) dy = 0 (2x + 8xy + y2) dx + (2x + xy/3) dy = 0 (+2x) dx + ( + 2y) dy = 0 (4x+7y) dx + (3x + 4y) dy = 0 (y sin xy + xy cos xy) dx + (x sinxy + xy cos xy) dy = 0 y dy x dx =0 (x2 + y2)3/2 (x + y2)3/2 (ex (xy2 + 2xy) + 6x) dx + (2xye* + 2) dy = 0 (xx+ (2x + 3) + 4x) dx + (xx+x - 12y) dy = 0