Home
Class 12
MATHS
Show that the given differential equatio...

Show that the given differential equation is homogeneous and solve each of them. `(x – y) dy – (x + y) dx = 0`

Text Solution

AI Generated Solution

To solve the differential equation `(x – y) dy – (x + y) dx = 0`, we will follow these steps: ### Step 1: Rewrite the equation We start with the given differential equation: \[ (x - y) dy - (x + y) dx = 0 \] Rearranging this gives us: ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.3|12 Videos
  • DETERMINANTS

    NCERT ENGLISH|Exercise All Questions|116 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.4|25 Videos

Similar Questions

Explore conceptually related problems

Show that the given differential equation is homogeneous and solve each of them. yprime=(x+y)/x

Show that the given differential equation is homogeneous and solve each of them. (x^2+x y)dy=(x^2+y^2)dx

Show that the given differential equation is homogeneous and solve each of them. x dy-y dx=sqrt(x^2+y^2)dx

Show that the given differential equation is homogeneous and solve each of them. (x^2-y^2)dx+2x ydy=0

Show that the given differential equation is homogeneous and solve each of them. y dx+xlog(y/x)dy-2x dy=0

Show that the given differential equation is homogeneous and solve each of them. x^2(dy)/(dx)=x^2-2y^2+x y

Show that the given differential equation is homogeneous and solve each of them. (1+e^(x/y))dx+e^(x/y)(1-x/y)dy=0

Show that the given differential equation is homogeneous and solve it. x(dy)/(dx)-y+xsin(y/x)=0

Show that the differential equation ((x-y)dy)/(dx)=x+2y , is homogeneous and solve it.

Show that the given differential equation xdy-ydx=sqrt(x^(2)+y^(2)) dx is homogenous and solve it.

NCERT ENGLISH-DIFFERENTIAL EQUATIONS-EXERCISE 9.5
  1. Show that the given differential equation is homogeneous and solve ea...

    Text Solution

    |

  2. Show that the given differential equation is homogeneous and solve ea...

    Text Solution

    |

  3. Show that the given differential equation is homogeneous and solve ea...

    Text Solution

    |

  4. Show that the given differential equation is homogeneous and solve ea...

    Text Solution

    |

  5. Show that the given differential equation is homogeneous and solve ea...

    Text Solution

    |

  6. Show that the given differential equation is homogeneous and solve eac...

    Text Solution

    |

  7. Show that the given differential equation is homogeneous and solve ea...

    Text Solution

    |

  8. Show that the given differential equation is homogeneous and solve ...

    Text Solution

    |

  9. Show that the given differential equation is homogeneous and solve it...

    Text Solution

    |

  10. A homogeneous differential equation of the from (dx)/(dy)=h(x/y)can ...

    Text Solution

    |

  11. Which of the following is a homogeneous differential equation? (...

    Text Solution

    |

  12. For the differential equation , find the particular solution satisfyi...

    Text Solution

    |

  13. For the given differential equation , find the particular solution sa...

    Text Solution

    |

  14. For the given differential equation , find the particular solution sat...

    Text Solution

    |

  15. The differential equations , find the particular solution satisfying ...

    Text Solution

    |

  16. Show that the given differential equation is homogeneous and solve ea...

    Text Solution

    |

  17. The differential equations , find the particular solution satisfying t...

    Text Solution

    |