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

The general solution of the differential equation `e^(x)dy+ydx=0` is

A

`xe^(y)+x^(2)=C`

B

`xe^(y)+y^(2)=C`

C

`ye^(x)+x^(2)=C`

D

`ye^(x)+x^(2)=C`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise UNIT TEST|8 Videos

  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (ASSIGNMENT)|1 Videos

  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise Additional question for practice 9.6|4 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

The general solution of the differential equation (ydx-xdy)/(x)=0 is

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

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

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

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

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

The general solution of the differential equation (dy)/(dx) = y tan x - y^(2) sec x is

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

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

NEW JOYTHI PUBLICATION-DIFFERENTIAL EQUATIONS-NCERT MISCELLANEOUS EXERCISE
  1. For each of the differential equations given below, indicate its order...

    Text Solution

    |

  2. For each of the exercises given below, verify that the given function ...

    Text Solution

    |

  3. For each of the exercises given below, verify that the given function ...

    Text Solution

    |

  4. For each of the exercises given below, verify that the given function ...

    Text Solution

    |

  5. For each of the exercises given below, verify that the given function ...

    Text Solution

    |

  6. Form the differential equation representing the family of curves given...

    Text Solution

    |

  7. Prove that x^(2)-y^(2)=c(x^(2)+y^(2))^(2) is the general solution of d...

    Text Solution

    |

  8. Form the differential equation of the family of circles in the first q...

    Text Solution

    |

  9. Find the general solution of the differential equation (dy)/(dx)+sqrt(...

    Text Solution

    |

  10. Find the equation of the curve passing through the point (0,(pi)/(4)) ...

    Text Solution

    |

  11. Find the particular solution of the differential equation (1+e^(2x)...

    Text Solution

    |

  12. Solve the differential equation ye^(x/y)dx=(xe^(x/y)+y^(2))dy(yne0).

    Text Solution

    |

  13. Find a particular solution of the differential equation (x-y)(dx+dy)=d...

    Text Solution

    |

  14. Solve the differential equation [(e^-(2sqrt(x)))/sqrt(x)-(y)/(sqrt(x))...

    Text Solution

    |

  15. Find a particular solution of the differential equation (dy)/(dx)+ycot...

    Text Solution

    |

  16. Find a particular solution of the differential equation (x+1)(dy)/(dx)...

    Text Solution

    |

  17. The population of a village increases continuously at the rate proport...

    Text Solution

    |

  18. The general solution of the differential equation (ydx-xdy)/(x)=0 is

    Text Solution

    |

  19. The general solution of a differential equation of the type (dx)/(dy)+...

    Text Solution

    |

  20. The general solution of the differential equation e^(x)dy+ydx=0 is

    Text Solution

    |