Home
Class 12
MATHS
Show that the differential equation that...

Show that the differential equation that represents the family of all parabolas having their axis of symmetry coincident with the axis of `x is y y_2+y1 2=0.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

The differential equation of all parabolas having their axes of symmetry coincident with the axes of x, is

The differential equation representing the family of curve y=mx is

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 representing the family of parabolas having vertex at origin and axis along positive direction of x-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 parabolas with focus at the origin and the axis of symmetry along the axis.

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 parabolas having vertex at origin and axis along positive y-axis.

Show that the differential equation of all parabolas y^2 = 4a(x - b) is given by

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

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Form the differential equation of the family of curves represented ...

    Text Solution

    |

  2. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  3. Show that the differential equation that represents the family of al...

    Text Solution

    |

  4. Find the differential equation of All non-vertical lines in a plane.

    Text Solution

    |

  5. Solve the following differential equations: (dy)/(dx)=ytanx-2sinx

    Text Solution

    |

  6. Solve the following differential equations: (dy)/(dx)+y cotx=x^2cotx+2...

    Text Solution

    |

  7. Solve the following differential equations: (dy)/(dx)+(4x)/(x^2+1)y+1/...

    Text Solution

    |

  8. Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

    Text Solution

    |

  9. Solve each of the following initial value problems sqrt(1-y^2)dx=...

    Text Solution

    |

  10. Solve the following differential equations: x(dy)/(dx)+y=x e^x

    Text Solution

    |

  11. If y(t) is a solution of (1+t)(dy)/(dt)-t y=1a n dy(0)=-1 then show ...

    Text Solution

    |

  12. Solve: (x+2y^3)dy=ydxdot

    Text Solution

    |

  13. Solve each of the following initial value problems: x(dy)/(dx...

    Text Solution

    |

  14. Solve each of the following initial value problems: (dy)/(dx)+(2x)/(...

    Text Solution

    |

  15. Solve the following differential equations: (2x-10 y^3)(dy)/(dx)+y=0

    Text Solution

    |

  16. Solve the following differential equations: (dy)/(dx)+y cotx=x^2cotx+2...

    Text Solution

    |

  17. Solve the following differential equations: (dy)/(dx)+ycosx=sinxcosx

    Text Solution

    |

  18. Solve the following differential equations: (x+tany)dy=sin2ydx

    Text Solution

    |

  19. Solve the following differential equations: (dy)/(dx)-y= xe^x

    Text Solution

    |

  20. Solve the following differential equations: (1+x^2)(dy)/(dx)-2x y=(x^2...

    Text Solution

    |