Pregunta: Find general solutions of the differential equations in Prob- lems / through 30. Primes denote derivatives with respect to x throughout 1. (x + y)y' = x - y 2. 2xyy' = x2 + 2y2 3. xy' = y +2,/XY 4. (x - y)y' = x + y 5. x(x + y)y' = y(x - y) 6. (x +2y)y' = y 7. xy2y' = x + y 3 8. xy' = xy + xy/x 9. xy' = xy + y2 10. xyy' = x2 + 3y2 11. (x2 - y2)y' = 2xy 12.

Find general solutions of the differential equations in Prob- lems / through 30. Primes denote derivatives with respect to x throughout 1. (x + y)y' = x - y 2. 2xyy' = x2 + 2y2 3. xy' = y +2,/XY 4. (x - y)y' = x + y 5. x(x + y)y' = y(x - y) 6. (x +2y)y' = y 7. xy2y' = x + y 3 8. xy' = xy + xy/x 9. xy' = xy + y2 10. xyy' = x2 + 3y2 11. (x2 - y2)y' = 2xy 12. xyy' = y2 + x V 4x2 + y2 13. xy' = y + x2 + y2 14. yy' + x = x2 + y2 15. x(x + y)y' + y(3x + y) = 0 16. y'= x + y + 1 17. y' = (4x + y)2 18. (x + y)y' = 1 19. x2 + 2xy = 5y 20. yy' + 2xy3 = 6x 21. y'= y + y3 22. x2y + 2xy = 5y 23. xy' + 6y = 3.xy4/3 24. 2xy + y3e-2x = 2.xy 25. y(xy' + y)(1+x4)1/2 = x 26. 3y2 y' + y = e- 27. 3xy2y' = 3x4 + 13 28. xey' = 2(e+ x2x) 29. (2x sin y cosyby' = 4x2 + siny 30. (x +e^))' = xe--1