Ecuaciones diferenciales tarea
Enviado por Yang Vasquez Silva • 31 de Agosto de 2018 • Examen • 3.180 Palabras (13 Páginas) • 761 Visitas
Resolver las siguientes ecuaciones diferenciales con las condiciones dadas:
1. [pic 1] 2. [pic 2]
3. [pic 3] 4. [pic 4] 5. [pic 5]
6. [pic 6] 7. [pic 7]
8. [pic 8] 9. [pic 9]
10. [pic 10] 11. [pic 11]
12. [pic 12] 13. [pic 13] 14. [pic 14]
15. [pic 15]
Resolver las siguientes ecuaciones diferenciales reducibles a homogéneas.
1. [pic 16] 2. [pic 17] 3. [pic 18] 4. [pic 19]
5. [pic 20] 6. [pic 21] 7. [pic 22]
8. [pic 23] 9. [pic 24] 10. [pic 25]
11. [pic 26] 12. [pic 27]
13. [pic 28] 14. [pic 29] 15. [pic 30]
16. [pic 31] 17. [pic 32]
18. [pic 33] 19. [pic 34]
20. [pic 35] 21. [pic 36]
22. [pic 37] 23. [pic 38] 24. [pic 39]
25. [pic 40] 26. [pic 41]
Resolver las siguientes ecuaciones diferenciales exactas.
1. [pic 42] 2. [pic 43]
3. [pic 44] 4. [pic 45]
5. [pic 46] 6. [pic 47]
7. [pic 48] 8. [pic 49]
9. [pic 50] 10. [pic 51]
11. [pic 52] 12. [pic 53]
13. [pic 54] 14. [pic 55]
15. [pic 56] 16. [pic 57]
17. [pic 58] 18. [pic 59] 19. [pic 60] 20. [pic 61] 21. [pic 62] 22. [pic 63]
23. [pic 64] 24. [pic 65] 26. [pic 66] 27. [pic 67] 28. [pic 68] 29. [pic 69] 30. [pic 70]
Resolver las siguientes ecuaciones diferenciales usando el Factor Integrante:
- [pic 71] 2. [pic 72]
3 [pic 73] 4. [pic 74]
5. [pic 75] 6. [pic 76]
7. [pic 77] 8. [pic 78]
9. [pic 79] 10. [pic 80]
11. [pic 81] 12. [pic 82]
13. [pic 83] 14. [pic 84]
15. [pic 85] 16. [pic 86]
17) [pic 87] 18. [pic 88]
19. [pic 89] 20. [pic 90]
21. [pic 91] 22. [pic 92]
23. [pic 93]entonces [pic 94] es un factor integrante de [pic 95]
24. Considerando una ecuación diferencial de la forma: [pic 96]
a) Demostrar que una ecuación diferencial de esta forma no es exacta.
b) Demostrar que [pic 97] es un factor integrante de una ecuación diferencial de esta forma.
Resolver las siguientes ecuaciones diferenciales lineales:
1. [pic 98] 2. [pic 99] 3. [pic 100]
4. [pic 101] 5. [pic 102]
6. [pic 103] 7. [pic 104] 8. [pic 105]
9. [pic 106] 10. [pic 107] 11. [pic 108]
12. [pic 109] 13. [pic 110] 14. [pic 111] 15. [pic 112]
16. [pic 113] 17. [pic 114]
...