Pregunta: Find general solutions of the differential equations in Prob- lems / through 30. Primes denote derivatives with respect to x throughout. 1. (x + y)' = x - y 2. 2xyy' = x2 + 2y2 3. xy' = y +2./xy 4. (x - y) = x+y 5. x(x + y)y' = y(x - y) 6. (x + 2y)y' = y 7. xy2y' = x3 + y3 8. x2y' = xy + xey/X 9. x2y' = 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)' = x - y 2. 2xyy' = x2 + 2y2 3. xy' = y +2./xy 4. (x - y) = x+y 5. x(x + y)y' = y(x - y) 6. (x + 2y)y' = y 7. xy2y' = x3 + y3 8. x2y' = xy + xey/X 9. x2y' = 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 +T 17. y' = (4x + y)2 18. (x + y)y' = 1 19. x2y + 2xy = 5y3 20. yy' + 2xy3 = 6x 21. y' = y + y 3 22. x2y + 2xy = 5y 23. xy' + 6y = 3x y 4/3 24. 2xy + y3e-2x = 2xy 25. y2(xy' + y)(1+x)1/2 = x 26. 3y2 y' + y3 = e-* 27. 3xy2 y' = 3.x+ + y3 28. xey' = 2(e+ x2x) 29. (2xsin y cosy)y' = 4x2 + sin? y 30. (x + eº y = xe-y -1