Home
Class 12
MATHS
Form the differential equation of the fa...

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

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (Multiple Choice Questions (Choose the correct option))|7 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|98 Videos

Similar Questions

Explore conceptually related problems

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

Obtain the differential equation of the family of circles, which touch the x-axis at the origin.

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

Form the differential equation of the family of circles having their centres at the origin.

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

Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.

Form the differential equation of the family of circles in the second quadrant and touching the coordinate axes.

BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Solve : dy/dx + 2y = sin x

    Text Solution

    |

  2. Solve the differential equation : x^2 (y + 1) dx + y^2 (x - 1) dy = 0

    Text Solution

    |

  3. Solve the following differential equations (x^(2) y + x^(2) ) dx + (...

    Text Solution

    |

  4. Solve the following differential equations x cos (y/x) (dy)/( dx) = ...

    Text Solution

    |

  5. Solve the following differential equations y dx + x (log ""(y)/( x))...

    Text Solution

    |

  6. Find the particular solution of the differential equation ; log (dy/dx...

    Text Solution

    |

  7. Solve the following differential equation dy/dx = x^5 + x^2 - 2/x

    Text Solution

    |

  8. Find the general solution of the Differential Equation : 2xy dx + (x^2...

    Text Solution

    |

  9. Solve the differential equation (x^2 - y^2) dx + 2 xy dy = 0.

    Text Solution

    |

  10. Solve the following differential equations (y^(2) - 2xy) dx = (x^(2)...

    Text Solution

    |

  11. Solve the differential equation : xdy/dx-y=2x^3.

    Text Solution

    |

  12. Solve the following differential equations (dy)/( dx) - y = cos x, g...

    Text Solution

    |

  13. Solve the differential equation xdy - ydx = sqrt(x^2+y^2)dx

    Text Solution

    |

  14. Find the particular solution of the differential equation (dy/dx) - 3y...

    Text Solution

    |

  15. Solve cot^(-1) (dy/dx) = x+y

    Text Solution

    |

  16. Solve the differential equation (x^(2) + y^(2) ) dx = 2xydy

    Text Solution

    |

  17. Solve the differential equation : x sec^2(y/x)dy={y sec^2(y/x)+x}dx.

    Text Solution

    |

  18. Solve the differential equation : xdy/dx+3y=(logx)/x^3.

    Text Solution

    |

  19. Form the differential equation of the family of circles touching the y...

    Text Solution

    |

  20. Solve the differential equation : x (dy/dx) + 2y = x^2 log x

    Text Solution

    |