Practica N° 05 - Ejercicios de la semana 5 de ecuaciones

UNIVERSIDAD NACIONAL PEDRO RUIZ GALLO

FACULTAD DE INGENIERÍA CIVIL, DE SISTEMAS Y ARQUITECTURA

ESCUELA PROFESIONAL DE INGENIERÍA DE SISTEMAS[pic 1]

Práctica N° 05

Integrantes:  

• Cuipal Damian Evelyn Khrisley
• Delgado Bautista María Shadira
• Segura Ipanaque Edgar Ramiro
• Suclupe Farroñan Wilmer Yoel
• Valdera Chiscol Carlos Yahveh

Carrera Profesional: Ingeniería de sistemas

Ciclo: III

Curso: Ecuaciones diferenciales

Docente: Fredy Asrael Paz Sifuentes.

Lambayeque, septiembre del 2020

Práctica N° 05

1. Hallar la primitiva de cada una de las siguientes Ecuaciones Diferenciales.

1. [pic 2]

Resolvemos:

[pic 3]

[pic 4]

• [pic 5]
• [pic 6]

                                        [pic 7][pic 8]

[pic 9]

[pic 10]

[pic 11]

[pic 12]

[pic 13]

[pic 14]

[pic 15]

[pic 16]

[pic 17]

                               [pic 18][pic 19]

[pic 20]

[pic 21]

[pic 22]

[pic 23]

[pic 24]

[pic 25]

[pic 26]

[pic 27]

[pic 28]

Solución:

[pic 29]

1. [pic 30]

Resolvemos:

[pic 31]

[pic 32]

• [pic 33]
• [pic 34]

                                      [pic 35][pic 36]

[pic 37]

[pic 38]

[pic 39]

[pic 40]

[pic 41]

[pic 42]

[pic 43]

[pic 44]

[pic 45]

                               [pic 46][pic 47]

[pic 48]

[pic 49]

[pic 50]

[pic 51]

[pic 52]

[pic 53]

[pic 54]

Solución:

[pic 55]

1. [pic 56]

Resolvemos:

[pic 57]

[pic 58]

[pic 59]

[pic 60]

Derivamos con respecto a X:

[pic 61]

[pic 62]

[pic 63]

[pic 64]

[pic 65]

[pic 66]

[pic 67]

[pic 68]

[pic 69]

[pic 70]

[pic 71]

Reemplazamos en la ecuación diferencial:

[pic 72]

[pic 73]

[pic 74]

[pic 75]

Solución:

[pic 76]

1. [pic 77]

Resolvemos:

[pic 78]

[pic 79]

Derivamos con respecto a X:

[pic 80]

[pic 81]

[pic 82]

[pic 83]

[pic 84]

[pic 85]

[pic 86]

[pic 87]

[pic 88]

Reemplazamos en la ecuación diferencial:

[pic 89]

[pic 90]

[pic 91]

Solución:

[pic 92]

1. [pic 93]

Resolvemos:

[pic 94]

[pic 95]

[pic 96]

[pic 97]

Derivamos con respecto a Y:

[pic 98]

[pic 99]

[pic 100]

[pic 101]

[pic 102]

[pic 103]

[pic 104]

[pic 105]

[pic 106]

[pic 107]

[pic 108]

[pic 109]

Reemplazamos en la ecuación diferencial:

[pic 110]

[pic 111]

[pic 112]

[pic 113]

Solución:

[pic 114]

1. [pic 115]

Resolvemos:

[pic 116]

[pic 117]

[pic 118]

[pic 119]

Derivamos con respecto a Y:

[pic 120]

[pic 121]

[pic 122]

[pic 123]

[pic 124]

[pic 125]

[pic 126]

[pic 127]

[pic 128]

[pic 129]

[pic 130]

Reemplazamos en la ecuación diferencial:

[pic 131]

[pic 132]

[pic 133]

Solución:

[pic 134]

1. [pic 135]

Resolvemos:

[pic 136]

[pic 137]

• Es una ecuación diferencial de Clairut

Solución:

[pic 138]

1. [pic 139]

Resolvemos:

[pic 140]

[pic 141]

[pic 142]

[pic 143]

Derivamos con respecto a Y:

[pic 144]

[pic 145]

[pic 146]

[pic 147]

[pic 148]

[pic 149]

[pic 150]

[pic 151]

...