Home
Class 12
MATHS
Show that the differential equation of t...

Show that the differential equation of the family of circles having their centres at the origin and radius 'a' is :
`x+y (dy)/(dx)=0`.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (d) Short Answer Type Questions|20 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (e) Short Answer Type Questions|5 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (c) Short Answer Type Questions|18 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation of family of circles having center at origin.

Form the differential equation of the family of circles touching the y-axis at origin.

Form the differential equation of the family of circles touching the x-axis at origin.

Form the differential equation of the family of circles having centre on y-axis and radius 3 units.

Find the differential equation of the family of circles whose centres lie on X -axis.

Obtain the differential equation of the family of circles : having radius 3 and centre on y-axis.

The differential equation of the family of circles of fixed radius r and having their centres on y -axis is:

The differential equation of family of circles whose centre lies on x-axis, is

Form a differential equation of family of all circles having center on the x - axis and radius 2 units.

which one of the following is the differential equation to family of circles having centre at the origin ?

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (c) Long Answer Type Questions (I)
  1. Which of the following is a differential equation of the family of cur...

    Text Solution

    |

  2. Form the differential equation of the family of curves : y= A e^(2x)...

    Text Solution

    |

  3. Find the differential equation of the family of curves y=A e^(2x)+B...

    Text Solution

    |

  4. The differential equation for y=e^(x)(acosx+bsinx) is

    Text Solution

    |

  5. Obtain the differential equation by eliminating 'a' and 'b' from the e...

    Text Solution

    |

  6. Show that the differential equation of the family of circles having th...

    Text Solution

    |

  7. Find the differential equation of all the circles which pass thorou...

    Text Solution

    |

  8. Find the differential equation of all the circles which pass throug...

    Text Solution

    |

  9. Obtain the differential equation of the family of circles : with ce...

    Text Solution

    |

  10. Form the differential equation of the family of circles in the seco...

    Text Solution

    |

  11. Obtain the differential equation of the family of circles : having ...

    Text Solution

    |

  12. Form the differential equation of the family of circles in the firs...

    Text Solution

    |

  13. Find the order of the differential equation of the family of all circl...

    Text Solution

    |

  14. Find the differential equation of all parabolas whose axes are paralle...

    Text Solution

    |

  15. Form the differential equation of the family of parabolas having ve...

    Text Solution

    |

  16. The differential equation of all parabolas each of which has a latu...

    Text Solution

    |

  17. Show that the differential equation that represents the family of a...

    Text Solution

    |

  18. Form the differential equation of the family of ellipses having foc...

    Text Solution

    |

  19. Form the differential equation of the family of hyperbola having fo...

    Text Solution

    |

  20. A population grows at the rate of 5% per year. If x=x(t) denotes the n...

    Text Solution

    |