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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

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

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

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

solve the differential equation (dy)/(dx)=e^(x+y)+x^2e^y

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

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

Solve the differential equation: (dy)/(dx) = e^(x+y) +x^(2)e^(y)

The general solution of differential equation (e^(x)+1)ydy=(y+1)(e^(x))dx"is"

Solve the differential equation (dy)/(dx)=e^(2x-y)+x^(2)*e^(-y) .

Solve the following differential equations: (dy)/(dx)=e^(x+y)+e^y x^3

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Which of the following differential equations has y=c1e^x+c2e^(-x) a...

    Text Solution

    |

  2. Which of the following differential equations has y = x as one of it...

    Text Solution

    |

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

    Text Solution

    |

  4. A homogeneous differential equation of the from (dx)/(dy)=h(x/y) can...

    Text Solution

    |

  5. Which of the following is a homogeneous differential equation? (A)...

    Text Solution

    |

  6. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^...

    Text Solution

    |

  7. The Integrating Factor of the differential equation (1-y^2)(dx)/(dy)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The general solution of the differential equation e^x" "dy" "+" "(y"...

    Text Solution

    |

  11. Determine order and degree (if defined) of differential equations g...

    Text Solution

    |

  12. Determine order and degree (if defined) of differential equations g...

    Text Solution

    |

  13. Determine order and degree (if defined) of differential equations g...

    Text Solution

    |

  14. Verify that the function y=e^(-3x) is a solution of the differential e...

    Text Solution

    |

  15. Verify that the given functions (explicit or implicit) is a solutio...

    Text Solution

    |

  16. Verify that the given functions (explicit or implicit) is a solution...

    Text Solution

    |

  17. Verify that the given functions (explicit or implicit) is a solutio...

    Text Solution

    |

  18. Verify that the given functions (explicit or implicit) is a solutio...

    Text Solution

    |

  19. Verify that the given function (explicit or implicit) is a solution of...

    Text Solution

    |

  20. Verify that the given functions (explicit or implicit) is a solutio...

    Text Solution

    |