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

The solution of `x(dy)/(dx)=y+xe^(y//x)` with `y(1)=0` is

A

`e^(y//x)+logx=1`

B

`e^(-y//x)=logx`

C

`e^(-y//x)+2logx=1`

D

`e^(-y//x)+logx=1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    SIA PUBLICATION|Exercise PROBLEMS|42 Videos

  • DIFFERENTIATION

    SIA PUBLICATION|Exercise Problems|50 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

SIA PUBLICATION-DIFFERENTIAL EQUATIONS-Problems
  1. The differential equation (dy)/(dx)=(1)/(ax+by+c) where a, b, c are al...

    Text Solution

    |

  2. The differential equation of the family of parabolas with vertex at (0...

    Text Solution

    |

  3. The solution of x(dy)/(dx)=y+xe^(y//x) with y(1)=0 is

    Text Solution

    |

  4. An integrating factor of the equation (1+y+x^(2)y)dx+(x+x^(3))dy=0 is

    Text Solution

    |

  5. The solution of the differential equation (dy)/(dx)-2ytan2x=e^(x)sec2x...

    Text Solution

    |

  6. If (dy)/(dx)+2xtan(x-y)=1, then sin(x-y) is equal to

    Text Solution

    |

  7. An integrating factor of the differential equation (1-x^(2))(dy)/(dx)+...

    Text Solution

    |

  8. The solution of the differential equation (dy)/(dx)=(y)/(x)+(phi(y//x)...

    Text Solution

    |

  9. If y=y(x) is the solution of the differential equation ((2+sinx)/(y+1)...

    Text Solution

    |

  10. The solution of tany(dy)/(dx)=sin(x+y)+sin(x-y) is

    Text Solution

    |

  11. A family of curves has the differential equation xy(dy)/(dx)=2y^(2)-x^...

    Text Solution

    |

  12. The solution of the differential equation (dy)/(dx)=sin(x+y)tan(x+y)-1...

    Text Solution

    |

  13. The differential equation of the family y=ae^(x)+bxe^(x)+cx^(2)e^(x) o...

    Text Solution

    |

  14. The solution of the differential equation (dy)/(dx)=(xy+y)/(xy+x) is

    Text Solution

    |

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

    Text Solution

    |

  16. The solution of the differential equation (dy)/(dx)-ytanx=e^(x)secx is

    Text Solution

    |

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

    Text Solution

    |

  18. The differential equation obtained by eliminating the arbitrary consta...

    Text Solution

    |

  19. The solution (x+y+1)(dy)/(dx)=1 is

    Text Solution

    |

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

    Text Solution

    |