Home
Class 12
MATHS
The solution of x dx + y dy = x^(2)y dy ...

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

A

`x^(2)-1 = c(1+y^(2))`

B

`x^(2)+1 = c(1-y^(2))`

C

`x^(3) -1 = c (1 + y^(3))`

D

`x^(3)+1 = c (1-y^(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

Solution of y dx - x dy = x^2 ydx is :

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

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

The solution of dy/dx = 2^(y-x) is

The solution of 2(x^(2) + y^(2)) dx - 4xy dy=0

Solution of dy/dx + 2xy=y is

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Solution of x^(2)+y^(2) dy/dx = 4 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The differential equation of the family of curves y^(2) = 4a(x+a) is

    Text Solution

    |

  19. Solution of dy/dx + 2xy=y is

    Text Solution

    |

  20. The solution of the differential equation xsqrt(1-y^(2)) dx+y sqrt(1-x...

    Text Solution

    |