Home
Class 12
MATHS
The differential equation of all circles...

The differential equation of all circles which passes through the origin and whose centers lie on Y-axis is

A

`(x^2-y^2)(dy)/(dx)-2xy=0`

B

`(x^2-y^2) (dy)/(dx)+2xy=0`

C

`(x^2-y^2) (dy)/(dx)-xy=0`

D

`(x^2-y^2) (dy)/(dx)+xy=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|124 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

Find the differential equation of all the circles which pass through the origin and whose centres lie on y-axis.

Find the differential equation of all the circles which pass thorough the origin and whose centres lie on x-axis.

Find the equation of a circle which passes through the origin and whose centre is (a, b).

Find the equation of a circle passes through the origin and whose centre is (-2,5).

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. The differential equation of all straight lines passing through the po...

    Text Solution

    |

  2. The differential equation representing the family of curves y=xe^(cx) ...

    Text Solution

    |

  3. The differential equation of all circles which passes through the orig...

    Text Solution

    |

  4. The solution of the equation (dy)/(dx)=e^(x-y) + x^2 e^(-y) is

    Text Solution

    |

  5. Solution of differential equation log((dy)/(dx))=x+y is

    Text Solution

    |

  6. Solve the following differential equation: xcosy\ dy=(x e^xlogx+e^x)dx

    Text Solution

    |

  7. The solution of (dy)/(dx) = 2^(y-x) is

    Text Solution

    |

  8. Solution of (dy)/(dx)+2x y=y is (a) ( b ) (c) y=c (d) e^( e ) (f) x...

    Text Solution

    |

  9. Solve the following differential equation: (dy)/(dx)=(1-cos x)/(1+cosx...

    Text Solution

    |

  10. Find the general solution of each of the following differential equat...

    Text Solution

    |

  11. The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y ...

    Text Solution

    |

  12. The solution of the differential equation x^2dy=-2xydx is

    Text Solution

    |

  13. The differential equations cos y dx = x dy has solution of the form

    Text Solution

    |

  14. The general solution of the differential equation (dy)/(dx)=cot x cot ...

    Text Solution

    |

  15. The solution of the differential equation x sec y "dy"/"dx"=1 is

    Text Solution

    |

  16. The general solution of the equation (e^y + 1)cos x dx + e^y sin x dx=...

    Text Solution

    |

  17. The general solution of the differential equation y dx +(1+x^2) tan^(...

    Text Solution

    |

  18. Solve : 3e^xtany dx+(1-e^x)sec^2y\ dy=0

    Text Solution

    |

  19. The solution of the differential equation (sin x + cos x) dy + (cos x-...

    Text Solution

    |

  20. If dy/dx=(xy + y)/(xy+x), then the solution of the differential equati...

    Text Solution

    |