Home
Class 12
MATHS
The general solution of the differential...

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

A

`y^(3) = 3x^(3) + C`

B

`y^(3) = 3x^(3) log (Cx)`

C

`y^(3) = 3x^(3) + log (Cx)`

D

`y^(3) + 3x^(3) -log (Cx)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - I|50 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

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

The solution of the differential equation y dx - x dy = 0 is

find the general solutions for the differential equation y log y dx - x dy = 0

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

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. An equation of the curve satisfying xdy - ydx = sqrt(x^(2) - y^(2))dx ...

    Text Solution

    |

  2. The solution of x cos. (y)/(x) (y dx + x dy) = y sin.(y)/(x) (x dy - y...

    Text Solution

    |

  3. The general solution of the differential equation x^2 y dx - (x^3 + y^...

    Text Solution

    |

  4. The solution of the differential equation xy' = 2xe^(-y//x) + y is

    Text Solution

    |

  5. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0 is

    Text Solution

    |

  6. The solution of (dy)/(dx) = (x + y +1)/(x + y -1) is

    Text Solution

    |

  7. The solution of the differential equation (dy)/(dx) = (x-2y +1)/(2x-4y...

    Text Solution

    |

  8. The solution of cos^(2) x (dy)/(dx) + y = tan x is

    Text Solution

    |

  9. The solution of (dy)/(dx) + y cot x = 4x cosec x, given that y = 0, x ...

    Text Solution

    |

  10. The general solution of (y^(5)+x)(dy)/(dx) = y is

    Text Solution

    |

  11. The solution of x^(2) (dy)/(dx) + (x-2) y = x^(2) e^(-2//x) is

    Text Solution

    |

  12. The solution of cos x(dy)/(dx) + y = sin x is

    Text Solution

    |

  13. Solve the following differential equations. x(x-1)(dy)/(dx)-(x-2)y=x...

    Text Solution

    |

  14. The solution of y dx - x dy + log x dx = 0 is

    Text Solution

    |

  15. The solution of (1+x^(2)) (dy)/(dx) + y = e^(Tan^(-1)x) is

    Text Solution

    |

  16. The solution of (1)/(x)(dy)/(dx) + y e^(x) = e^((1-x)^(e^(x))) is

    Text Solution

    |

  17. Which of the following statement is correct ? Statement I if dy+2xyd...

    Text Solution

    |

  18. The general solution of e^(y)((dy)/(dx)) + 2(e^(y))/(x) = Sin x is

    Text Solution

    |

  19. Solution of xy - (dy)/(dx) = y^(3)e^(-x^(2)) is

    Text Solution

    |

  20. Solve (dy)/(dx) + (y)/(x) = x^(2)y^(6)

    Text Solution

    |