Home
Class 12
MATHS
If c is a parameter, then the differenti...

If c is a parameter, then the differential equation whose solution is `y = c^(2) + c/x` is

A

` y = x^(4) ((dy)/(dx)) - x (dy/dx)^(2)`

B

` y = x^(4) ((dy)/(dx))^(2) + x (dy/dx)`

C

` y = x^(4) ((dy)/(dx))^(2) - x (dy/dx)`

D

` y = x^(4) ((d^(2)y)/(dx^(2))) - x (dy/dx)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

Find the differential equation whose solution represents the family : c (y + c)^2 = x^3

Find the differential equation whose solution represents the family y=ae^(3x)+be^(x) .

The solution of the differential equation y sec^(2) x dx + tan x . Sec^(2) y dy = 0 is

Solution of the differential equation dy/dx +y/x = sin x is

The differential equation of the family of parabolas y^(2)=4ax where a is parameter is

The general solution of the differential equation (y dx + x dy)/(y ) = 0 is

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cos x,y(0) =1 then y (pi/2) e...

    Text Solution

    |

  2. The solution of 2xy dy/dx =1+y^(2) is

    Text Solution

    |

  3. If c is a parameter, then the differential equation whose solution is ...

    Text Solution

    |

  4. Solution of x^(2)+y^(2) dy/dx = 4 is

    Text Solution

    |

  5. The family of curves in which the subtangent at any point to any curve...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Order of the differential equation of the family of all concentric cir...

    Text Solution

    |

  9. Solution of dy/dx = (x log x^(2) + x)/(sin y + y cos y) is

    Text Solution

    |

  10. dx + dy = (x+y) (dx-dy) implies log (x+y) =

    Text Solution

    |

  11. The equation of a curve passing through the origin and satisfying the...

    Text Solution

    |

  12. The general solution of e^x cos y dx - e^x sin y dy = 0 is :

    Text Solution

    |

  13. The differential equation y(dy)/(dx)+x=c represents

    Text Solution

    |

  14. The general solution of ydx-xdy-3x^(2)y^(2)e^(x^(3)) dx =0 is

    Text Solution

    |

  15. tan^(-1)x+tan^(-1)y = c is the general solution of the differential eq...

    Text Solution

    |

  16. The differential equation of the family of lines passing through the o...

    Text Solution

    |

  17. The degree of the differential equation (d^(2)y)/(dx^(2)) + (dy/dx)^(3...

    Text Solution

    |

  18. The solution of the equation (2y-1) dx- (2x+3)dy =0 is

    Text Solution

    |

  19. The solution of the differential equation cosx siny dx + sin x cos y d...

    Text Solution

    |

  20. Find the general solution of the differential equation (dy)/(dx) = (1 ...

    Text Solution

    |