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

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

A

`e^(y//x)+ln|cx|=0`

B

`e^(-y//x)=x+c`

C

`e^(y//x)=ln|cx|`

D

`e^(y//x)=2ln|cx|`

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 the differential equation y' = (1)/(e^(-y) - x) , is

Consider the differential equation (dy)/(dx)=(y^(3))/(2(xy^(2)-x^(2))): Statement-1 : The substitution z=y^(2) transforms the above equation into a first order homogeneous differential equation. Statement-2 : The solution of this differential equation is y^(2)e^(-y^(2)//x)=C .

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

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

The solution of the differential equaltion (x+2y^(3))(dy)/(dx)=y is

The general solution of the differential equation (x^(2)+xy)y'=y^(2) is

SIA PUBLICATION-DIFFERENTIAL EQUATIONS-Problems
  1. Text Solution

    |

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

    Text Solution

    |

  3. The differential equation of the family of curves y=ax+(1)/(a), where ...

    Text Solution

    |

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

    Text Solution

    |

  5. The differential equation (dy)/(dx)=(1)/(ax+by+c) where a, b, c are al...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |