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

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

Text Solution

Verified by Experts

`[1+(y')^(2)]^(2) = (y'')^(2), y' = (dy)/(dx), y'' = (d^(2)y)/(dx^(2))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Competition Level Questions|35 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - B (Objective Type Questions (One option is correct))|39 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

Obtain the differential equation of all circles of radius rdot

Find the differential equation of those circles whose centres lie on X -axis and whose radii are variable 'r' .

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 differential equation of all the ellipses whose center is at origin and axis are co-ordinate axis.

Write the order of the differential equation of the family of circles of radius r .

Find the differential equation of all parabolas whose axis are parallel to the x-axis.

The differential equation of the family of circles with fixed radius 5 units and centre on the line y=2 is

The order of the differential equation of all circle of radius r, having centre on y-axis and passing through the origin, is

Find the differential equation of all the parabolas with latus rectum 4a and whose axes are parallel to x-axis.

AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Try Yourself
  1. In the following questions verify that the given function is a solutio...

    Text Solution

    |

  2. In the following questions verify that the given function is a solutio...

    Text Solution

    |

  3. In the following question verify that the given function is a solution...

    Text Solution

    |

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

    Text Solution

    |

  5. Form the differential equation of the family of all the parabolas whos...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the differential equation of the circles represented by y = k(x +...

    Text Solution

    |

  8. Find the general solution of the equation given by (dy)/(dx) + (1+y^(2...

    Text Solution

    |

  9. Find the equation of the curve passing through origin and satisfying t...

    Text Solution

    |

  10. Solve the differential equation x sec^(2) y dy = (xIn x + 1) e^(x) dx.

    Text Solution

    |

  11. In how many years the amount of Rs 2,000 triples if the rate is which ...

    Text Solution

    |

  12. Show that the differential equation x^(2)(dy)/(dx) = x^(2)+ xy + y^(2)...

    Text Solution

    |

  13. Show that (3xy + x^(2)) dy + (y^(2) + xy)dx = 0 is homogeneous differe...

    Text Solution

    |

  14. Find the general solution of the equation x - y (dx)/(dy) = y + x (dx)...

    Text Solution

    |

  15. Solve the following differential equation : ( 1 + e^(y/x) ) dy + e...

    Text Solution

    |

  16. Solve the differential equation (dy)/(dx) + 2y = x.

    Text Solution

    |

  17. Find the general solution of the differential equation (x-1)(dy)/(dx) ...

    Text Solution

    |

  18. Solve the differential equation y^(2)(dx)/(dy) + x = 1.

    Text Solution

    |

  19. Find the equation of the curve passing through the point (0,0) and who...

    Text Solution

    |

  20. A curve has a property that the slope of the tangent at a point (x, y)...

    Text Solution

    |