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

The general solution of the differential equation `(e^(x)+1)y dy = (y+1)e^(x) dx` is

A

`(y+1) = k(e^(x)+1)`

B

`y+1 = e^(x)+1 + k`

C

`y = log (k(y+1)) (e^(x)+1)`

D

` y = log ((e^(x)+1)/(y+1)) + k`

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

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

The general solution of the differential equation (dy)/(dx)+y/x=3x is

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

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

The general solution of the differential equation (dy)/(dx) + (y)/(x) = 3x is

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

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

Find the general solution of the differential equation ( x+y) (dy)/(dx)=1

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The general solution of the differential equation (2x - y + 1) dx + (2...

    Text Solution

    |

  2. The solution of the differential equation e^(-x)(y+1)dy+(cos^(2)x -sin...

    Text Solution

    |

  3. The general solution of the differential equation (e^(x)+1)y dy = (y+1...

    Text Solution

    |

  4. The differential equation of the family of straight lines whose slope ...

    Text Solution

    |

  5. The order and degree of the differential equation [1 + (dy/(dx))^(5)]^...

    Text Solution

    |

  6. A particular solution of dy/dx = (x+9y)^(2) when x=0, y = 1/27 is

    Text Solution

    |

  7. The order and degree of the differential equation (1+3(dy)/(dx))^(2//3...

    Text Solution

    |

  8. The differential equation of all non - vertical lines in a plane is :

    Text Solution

    |

  9. The solution of the equation (d^2y)/(dx^2)=e^(-2x) is :

    Text Solution

    |

  10. The degree and order of the differential equation of the family of all...

    Text Solution

    |

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

    Text Solution

    |

  12. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

    Text Solution

    |

  13. The differential equation representing the family of curves y^2=2c(x+s...

    Text Solution

    |

  14. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cos x,y(0) =1 then y (pi/2) e...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |