Home
Class 12
MATHS
Solution of the differential equation x^...

Solution of the differential equation `x^(2)y dy+(x^(3)+x^(2)y-2xy^(2)-y^(3))dx=0` is

A

`log |(y+x)/(x^(4) (y-x))|= (4x)/(x+y) + 4c`

B

`log |(y-x)/(x^(4) (y+x))|= (4x)/(x+y)+4c`

C

`log |(y+x)/(x^(4) (y-x))|= (2x)/(x+y)+4c`

D

`log |(y-x)/(x^(4) (y+x))|= (2x)/(x+y)+4c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos

  • DERIVATIVES

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|22 Videos

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|1 Videos

Similar Questions

Explore conceptually related problems

Solution of the differential equation x^(2)y dx-(x^(3)+y^(3))dy=0 is

Solution of the differential equation x^(2)(dy)/(dx)-3xy-2y^(2)=0 is

Solution of the differential equation y dx+(x-y^(2))dy=0 is

Solution of the differential equation (x^(2)+3xy+y^(2))dx-x^(2)dy=0 is

Solution of the differential equation y(xy+2x^(2)y^(2))dx+x(xy-x^(2)y^(2))dy=0 is, (c is constant of integration)

Solution of the differential equation xy^(3)(dy)/(dx)=1-x^(2)+y^(2)-x^(2)y^(2) is

The solution of the differential equation y(xy+2x^(2)y^(2))dx+x(xy-x^(2)y^(2))dy=0, is given by

The solution of the differential equation x^(3)(dy)/(dx)=y^(3)+y^(2)sqrt(y^(2)-x^(2)) is :

The solution of the differential equation xy^(2) dy - (x^(3) +y^(3))dx = 0 is

MTG-WBJEE-DIFFERENTIAL EQUATIONS-WB JEE Previous Years Questions
  1. Solution of the differential equation x^(2)y dy+(x^(3)+x^(2)y-2xy^(2)-...

    Text Solution

    |

  2. If sqrty=cos^-1x, then it satisfies the dIfferential equation (1-x^2)(...

    Text Solution

    |

  3. The integrating factor of the differential equaion (1+x^(2))(dy)/(dx)+...

    Text Solution

    |

  4. The solution of the differential equation y"dy"/"dx"=x[y^2/x^2 + (phi(...

    Text Solution

    |

  5. The curve y=(cosx+y)^(1/2) satisfies the differential equation :

    Text Solution

    |

  6. If y=e^-x cos2x then which of the following differential equations is ...

    Text Solution

    |

  7. The integrating factor of the differential equation (dy)/(dx)+(3x^2tan...

    Text Solution

    |

  8. If the solution of the differential equation x(dy)/(dx) +y = xe^(x) "b...

    Text Solution

    |

  9. The order of the differential equation of all parabols whose axis of s...

    Text Solution

    |

  10. General solution of (x+y)^(2) (dy)/(dx)= a^(2), a ne 0 is (c is an arb...

    Text Solution

    |

  11. The integrating factor of the first order differential equation x^2(x^...

    Text Solution

    |

  12. The differential equation representing the family of curves y^(2)= 2d ...

    Text Solution

    |

  13. Let y(x) be a solution of (1+x^2)"dy"/"dx"+2xy-4x^2=0 and y(0)=-1 Th...

    Text Solution

    |

  14. Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy...

    Text Solution

    |

  15. The solution of the differential equation (y^(2)+2x) (dy)/(dx)=y satis...

    Text Solution

    |

  16. The solution of the differential equation y sin (x//y) dx= (x sin (x//...

    Text Solution

    |

  17. The solution of the differential equation (dy)/(dx) + (y)/(x log(e)x)=...

    Text Solution

    |

  18. General solution of y(dy)/(dx) + by^(2)=a cos x, 0 lt x lt 1 is

    Text Solution

    |

  19. If u(x) and v(x) are two independent solution of the differential equa...

    Text Solution

    |

  20. If cos x and sinx are the solution of differential equation ao (d^2y)/...

    Text Solution

    |