Home
Class 12
MATHS
Form the differential equation by elimin...

Form the differential equation by eliminating the arbitrary constant from the equation `x^(2)//a^(2) - y^(2)//b^(2) = 1`

A

`xy y_(2) + xy_(1)^(2) - y y_(1) = 0`

B

`xy y_(2) - xy_(1)^(2) - y y_(1) = 0`

C

`xy y_(2) + xy_(1)^(2) + y y_(1) = 0`

D

`xy y_(2) - xy_(1)^(2) + y y_(1) = 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - II|105 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Additional Exercise|12 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation by eliminating the arbitrary constant from the equation y = ax^(3) + bx^(2)

Form the differential equation by eliminating the arbitrary constant from the equation y = a cos (2x + b)

Form the differential equation by eliminating the arbitrary constant from the equation xy = ae^(x) + be^(-x) + x^(2)

The differential equationby eliminating arbitrary constants from the equation y = A e^(5x) + Be^(-2x) is

Form the differential equation by eliminating the arbitrary constant from y = A cos 3x + B sin 3x

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - I
  1. Form the differential equation from ax^(2) + by^(2) = 1

    Text Solution

    |

  2. The differential equation of family of circles of fixed radius 5 units...

    Text Solution

    |

  3. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  4. dx + dy = (x + y) (dx -dy) rArr log (x + y) =

    Text Solution

    |

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

    Text Solution

    |

  6. The solution of the cosec^(2x)(dy)/(dx) - (1)/(y) = 0 is

    Text Solution

    |

  7. The solution of (dy)/(dx) = ((y)/(x))^(1//3) is

    Text Solution

    |

  8. The solution of sqrt(1 + x^(2)) dx + sqrt(1 + y^(2)) dy = 0 is

    Text Solution

    |

  9. The solution of x^(2) (dy)/(dx) = sqrt(4 - y^(2)) is

    Text Solution

    |

  10. The solution of 3e^(x) cos^(2) ydx+(1-e^(x)) cot y dy = 0 is

    Text Solution

    |

  11. A particle moves in a line with velocity given by (ds)/(d t) = s+1. Th...

    Text Solution

    |

  12. Equation of the curve passing through the point (4,3) and having slope...

    Text Solution

    |

  13. The slope of a curve at any point on it is the reciprocal of twice of ...

    Text Solution

    |

  14. The solution of (dy)/(dx) = (x^(2) + y^(2))/(xy) is

    Text Solution

    |

  15. The solution of (dy)/(dx) + y = e^(x) is

    Text Solution

    |

  16. The solution of (dy)/(dx) = (y + x tan.(y)/(x))/(x) rArr sin.(y)/(x)=

    Text Solution

    |

  17. The solution of (x^(2) + y^(2)) dx = 2xy dy is

    Text Solution

    |

  18. The equation (dy)/(dx) = (x + 2y-3)/(2x+y-3) can be changed to homogen...

    Text Solution

    |

  19. The substitution required to change (3y-7x+7) dx + (7y-3x+3)dy = 0 int...

    Text Solution

    |

  20. The solution of (12x + 5y -9) dx + (dx + 2y-4) dy = 0 is

    Text Solution

    |