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. General solution of (dy)/(dx)+ytan x = sec x is :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The solution of the differential equationdy/dx + (2x)/(1+x^(2)) y = 1/...

    Text Solution

    |

  6. The solution of the differential equation cosy. cos x dx + sin x . Sin...

    Text Solution

    |

  7. The degree of the differential equation (d^(2)y)/(dx^(2)) + [1+ (dy/dx...

    Text Solution

    |

  8. 19. The elimination of A and B from the equation y^(2) = Ax+B gives di...

    Text Solution

    |

  9. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

    Text Solution

    |

  10. If m and n are order and degree of the differential equation ((d^(2)y)...

    Text Solution

    |

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

    Text Solution

    |

  12. The differential equation obtained by eliminating A and B from y = A c...

    Text Solution

    |

  13. The order and degree of the differential equation x (d^(2)y)/(dx^(2)) ...

    Text Solution

    |

  14. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

    Text Solution

    |

  15. Which of the following functions is a solution of the differential equ...

    Text Solution

    |

  16. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

    Text Solution

    |

  17. The differential equation for which sin^(-1)x+sin^(-1)y=C is given by

    Text Solution

    |

  18. The general solution of the differential equation dy/dx + (1+ cos 2y)/...

    Text Solution

    |

  19. The degree of the differential Equation (1+((dy)/(dx))^(2))^(3//4)=(...

    Text Solution

    |

  20. Form the differential equation of the family of circles touching the y...

    Text Solution

    |