Home
Class 12
MATHS
Form the differential equation represent...

Form the differential equation representing the family of ellipse having foci on x-axis and centre at the origin.

Text Solution

Verified by Experts

The correct Answer is:
`xy(d^(2)y)/(dx^(2)) + x((dy)/(dx))^(2) - y (dy)/(dx) = 0`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXAMPLES|5 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.1|12 Videos

  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

  • INTEGRALS

    NCERT BANGLISH|Exercise EXERCISE 7.12|44 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation of the family of hyperbolas havig foci on x-axis and centre at origin.

Form the differential equation of the family of circles having centre on the x-axis and passing through the origin .

From the differential representing the family of ellipses having centre at the origin and foci on y-axis .

Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.

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

Form the differential equation representing the family of curves y = mx where, m is arbitrary constant.

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

Form the differential equation representing the family of curves y = a sin ( x + b) , where a, b are arbitrary constants.

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

NCERT BANGLISH-DIFFERENTIAL EQUATIONS-MISCELLANEOUS EXERCISE
  1. Form the differential equation representing the family of ellipse havi...

    Text Solution

    |

  2. For each of the differential equations given below, indicate its order...

    Text Solution

    |

  3. show that if. y = sin 3x : then(d^(2)y)/(dx^(2)) + 9y = 0

    Text Solution

    |

  4. Form the differential equation representing the family of curves give...

    Text Solution

    |

  5. Prove the x^(2) - y^(2) = c (x^(2) + y^(2))^(2) is the general solutio...

    Text Solution

    |

  6. Form the differential equation of the family of circles in the first q...

    Text Solution

    |

  7. Find the general solution of the differential equation (dy)/(dx) + sqr...

    Text Solution

    |

  8. Show that the general solution of the differential equation (dy)/(dx) ...

    Text Solution

    |

  9. Find the equation of the curve passing through the point (0, (pi)/(4))...

    Text Solution

    |

  10. Find the particular solution of the differential equation (1 + e^(2x)...

    Text Solution

    |

  11. Solve the differential equation y dx = (x + y^(2))dy ( y ne 0).

    Text Solution

    |

  12. Find a particular solution of the differential equation (x - y)(dx + d...

    Text Solution

    |

  13. Solve the differential equation [(e^(-2sqrtx))/(sqrtx) - (y)/(sqrtx)](...

    Text Solution

    |

  14. Find a particular solution of the differential equation (dy)/(dx) + y...

    Text Solution

    |

  15. Find a particular solution of the differential equation (x + 1)(dy)/(d...

    Text Solution

    |

  16. The population of a village increases continuously at the rate propor...

    Text Solution

    |

  17. The general solution of the differential equation (y dx - x dy)/(y ) =...

    Text Solution

    |

  18. The general solution of a differential equation of the type (dy)/(dx)...

    Text Solution

    |

  19. The general solution of the differential equation e^(x) dy + (y e^(x) ...

    Text Solution

    |