Pregunta: In Problems 1-30, solve the equation. dy dy 1. 2. dx y-1 de - 4y = 32r2 3. (x2 - 2y ')dy + (2xy - 3x^)dx = 0 dy 3y 4. 26. + * - - - 4x +3 24. (Vy/x + cos x)dx + (Vxły + sin y) dy = 0 25. y(x - y - 2)dx + x(y -x + 4) dy = 0 dy dx + xy = 0 27. (3x - y - 5)dx + (x - y + 1)dy = 0 dyxy-1 28. dx x+y+5 29. (4xy' - 9y2 + 4xyz)dx +(3x?y? - 6xy + 2x+y)dy = 0 o. A = (x

In Problems 1-30, solve the equation. dy dy 1. 2. dx y-1 de - 4y = 32r2 3. (x2 - 2y ')dy + (2xy - 3x^)dx = 0 dy 3y 4. 26. + * - - - 4x +3 24. (Vy/x + cos x)dx + (Vxły + sin y) dy = 0 25. y(x - y - 2)dx + x(y -x + 4) dy = 0 dy dx + xy = 0 27. (3x - y - 5)dx + (x - y + 1)dy = 0 dyxy-1 28. dx x+y+5 29. (4xy' - 9y2 + 4xyz)dx +(3x?y? - 6xy + 2x+y)dy = 0 o. A = (x + y + 1) - (x + y = 11 8. + dx 30. 5. (sin(xy) + xy cos(xy)]dx + [1 + x?cos(xy)]dy = 0 6. 2xy dx - (1 - **)dy = 0 7. My? dt + ry - dy = 0 dy 2y 2x?y2 9. ? + y?) dx + 3xy dy = 0 10. [1 + (1 + x2 + 2xy + y2)]dx + [y-1/2 + (1 + x2 + 2xy + y2)]dy = 0 = 1 + cos? (1 - x) 12. (y + 4e'y)dx + 20' + 3y?)dy = 0 dy =xsin 24 in Problems 31-40, solve the initial value problem. 31. x - y) dx + x dy = 0. y(1) = 3 11. . dt 32. 13. dx dx 14. dr - 1-p+2 33. (+ x + 3)dt + de=0. x(0) dy 2y 34. cosx y() = 2 dx 35. (2y + 47)dx - xydy = 0. y(1) = -2 36. 2 cos(2x + y) - x2] de +(cos(2x + y) + ]dy = 0. y(1) = 0 37. (26- y)dx + (x + y - 3)dy = 0. (0) = 2 38. Vydx + 2 + 4)dy = 0. y(0) - 4 15. 2- Vary+ 3 16. + y tan x + sin x = 0 dy_2-5' 17. + 2y = y de 39. dx (1) -3