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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (ASSIGNMENT)|1 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 (dy)/(dx)=(y)/(x) is

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

Find the general solution of the differential equation (dy)/(dx) = (x+1)/(2 - y), (y ne 2) .

Find the general solution of the differential equation (dy)/(dx)=(x+1)/(3-y),(yne3)

If y=x/(In|cx|) (where c is an arbitary constant) is the general solution of the differential equation (dy)/(dx)=y/x+phi(x/y) then function phi(x/y) is:

The solution of the differential equation (dy)/(dx)=2xy is

Find the general solution of the differential equation (dy)/(dx) - y = cosx.

NEW JOYTHI PUBLICATION-DIFFERENTIAL EQUATIONS-OBJECTIVE TYPE QUESTION
  1. The degree of the differential equation [5+((dy)/(dx))^(2)]^(5/3)=x^(5...

    Text Solution

    |

  2. The order and degree of the differential equation (d^(2)y)/(dx^(2))=(1...

    Text Solution

    |

  3. The degree of differential equation (d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+...

    Text Solution

    |

  4. The order of the differential equation ((d^(2)y)/(dx^(2)))^(3)=(1+(dy)...

    Text Solution

    |

  5. The order of the differential equation whose solution is y=cosx+bsinx ...

    Text Solution

    |

  6. The order of differential equation of all circles with radius 'a' is.

    Text Solution

    |

  7. The degree of the differential equation (d^(2)y)/(dx^(2))+3((dy)/(dx))...

    Text Solution

    |

  8. The number of arbitrary constants in the general solution of a deffere...

    Text Solution

    |

  9. Which of the following is a second order differential equation ?

    Text Solution

    |

  10. The differential equation of the family of all non-vertical lines in a...

    Text Solution

    |

  11. The differential equation of the family of all non-horizontal lines in...

    Text Solution

    |

  12. A solution of the differential equation y'=y is

    Text Solution

    |

  13. The differential equation y.(dy)/(dx)+x=C represents a

    Text Solution

    |

  14. tan^(-1)x+tan^(-1)y=C is the general solution of the differential equa...

    Text Solution

    |

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

    Text Solution

    |

  16. A homogeneous differential equation of the form (dy)/(dx)=f((y)/(x)) c...

    Text Solution

    |

  17. A homogeneous differential equation of the form (dy)/(dx)=f((y)/(x)) c...

    Text Solution

    |

  18. Integrating factor of the differential equation cosx(dy)/(dx)+ysinx=1 ...

    Text Solution

    |

  19. The integrating factor of the differential equation (dy)/(dx)+ycotx=co...

    Text Solution

    |