Mensaje de error

  • Notice: Trying to access array offset on value of type null en theme_pager() (línea 331 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_first() (línea 459 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_previous() (línea 489 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_last() (línea 564 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 528 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_next() (línea 529 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Notice: Trying to access array offset on value of type null en theme_pager_last() (línea 564 de /home1/montes/public_html/drupal/includes/pager.inc).
  • Deprecated function: The each() function is deprecated. This message will be suppressed on further calls en book_prev() (línea 775 de /home1/montes/public_html/drupal/modules/book/book.module).
  • Notice: Trying to access array offset on value of type int en element_children() (línea 6422 de /home1/montes/public_html/drupal/includes/common.inc).
  • Notice: Trying to access array offset on value of type int en element_children() (línea 6422 de /home1/montes/public_html/drupal/includes/common.inc).
  • Notice: Trying to access array offset on value of type int en element_children() (línea 6422 de /home1/montes/public_html/drupal/includes/common.inc).
  • Deprecated function: implode(): Passing glue string after array is deprecated. Swap the parameters en drupal_get_feeds() (línea 394 de /home1/montes/public_html/drupal/includes/common.inc).

Cuestion 1 EDiferenciales 1106S2

Solapas principales

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Resolucion:

Vamos a demostrar que la ecuacion (x+3*x^3*sen(y))dx+(x^4*cos(y))dy=0 no es exacta:

 
\frac{\partial{(x+3\cdot x^3\cdot sen(y))}}{\partial{y}}=3\cdot x^3\cdot cos(y)
 
\frac{\partial{(x^4\cdot cos(y))}}{\partial{x}}=4\cdot x^3\cdot cos(y)
 
3\cdot x^3\cdot cos(y)\neq 4\cdot x^3\cdot cos(y)
 
 
 
Vamos a comprobar que u=1/x es un factor integrante de la ecuacion integral:
 
(x+3\cdot x^3\cdot sen(y))\cdot \frac{1}{x}\,dx+(x^4\cdot cos(y))\cdot \frac{1}{x}\,dy=0
 
(1+3\cdot x^2\cdot sen(y))dx+(x^3\cdot cos(y))\,dy=0
 
\frac{\partial{(1+3\cdot x^2\cdot sen(y))}}{\partial{y}}=3\cdot x^2\cdot cos(y)
 
\frac{\partial{(x^3\cdot cos(y))}}{\partial{x}}=3\cdot x^2\cdot cos(y)
 
3\cdot x^2\cdot cos(y)=3\cdot x^2\cdot cos(y)
 
 
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