Home
Class 12
MATHS
Find the differential equation of all th...

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

Text Solution

AI Generated Solution

To find the differential equation of all circles that pass through the origin and whose centers lie on the x-axis, we can follow these steps: ### Step 1: Write the general equation of the circle The general equation of a circle with center at \((a, 0)\) and radius \(a\) is given by: \[ (x - a)^2 + (y - 0)^2 = a^2 \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 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.

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

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

Find the differential equation of all the circles whose radius is one unit.

The differential equation of the family of circles passing through the origin and having centres on the x-axis is

RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Form the differential equation corresponding to (x-a)^2+(y-b)^2=r^2 by...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Assume that a rain drop evaporates at a rate proportional to its su...

    Text Solution

    |

  5. Find the differential equation of all the parabolas with latus rectum ...

    Text Solution

    |

  6. Form the differential equation of the family of curves represented by ...

    Text Solution

    |

  7. Represent the following families of curves by forming the correspond...

    Text Solution

    |

  8. Represent the following families of curves by forming the correspondin...

    Text Solution

    |

  9. Represent the following families of curves by forming the correspondin...

    Text Solution

    |

  10. Represent the following families of curves by forming the correspondin...

    Text Solution

    |

  11. Represent the following families of curves by forming the correspond...

    Text Solution

    |

  12. Represent the following families of curves by forming the correspondin...

    Text Solution

    |

  13. Form the differentials equation representing the family of ellipse h...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Show that x y=a e^x+b e^(-x)+x^2 is a solution of the differential equ...

    Text Solution

    |

  17. Verify that the function y=C1e^(a x)cosb x+C2e^(ax)sinb x ,\ C1, C2,\ ...

    Text Solution

    |

  18. Show that y=b e^x+c e^(2x)\ is a solution of the differential equatio...

    Text Solution

    |

  19. Verify that y=4sin3x is a solution of the differential equation (d^2y)...

    Text Solution

    |

  20. Show that y=a e^(2x)+b e^(-x) is a solution of the differential equa...

    Text Solution

    |