Home
Class 12
MATHS
Solution the differential equation (dy)/...

Solution the differential equation `(dy)/(dx) + 1 = e^(x+y)` is

A

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

B

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

C

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

D

`e^(-(x+y))+y + 2x = c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - II|105 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

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

find the genral solutions for the differential equation (dy)/(dx) + y = 1( y ne 1)

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

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

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. The solution of (x^(2)-y^(2)x^(2))(dy//dx) +(y^(2)+x^(2)y^(2)) = 0 is

    Text Solution

    |

  2. The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

    Text Solution

    |

  3. Solution the differential equation (dy)/(dx) + 1 = e^(x+y) is

    Text Solution

    |

  4. The solution of (dy)/(dx) = e^(2x-y) + x^(3) e^(-y) is

    Text Solution

    |

  5. The solution of (dy)/(dx) = tan^(2)(x+y) is

    Text Solution

    |

  6. The solution of (dy)/(dx) = cos(x+y) is

    Text Solution

    |

  7. The solution of (dy)/(dx) = (4x+9y+1)^(2) is

    Text Solution

    |

  8. The equation of the curve through the origin and satifying the differe...

    Text Solution

    |

  9. The equation of curve passing through (1,3) whose slope at any point (...

    Text Solution

    |

  10. The equation of curve passing through (0,1) which is a solution of dif...

    Text Solution

    |

  11. The curve whose sub tangent is twice the abscissa of the point of cont...

    Text Solution

    |

  12. Equation of the curve passing through the point (a,1) and has length o...

    Text Solution

    |

  13. The D.E y(dy)/(dx)+x = a represents

    Text Solution

    |

  14. The solution of (ydx - xdy)/(y^(2)) = 0 represents a family of

    Text Solution

    |

  15. Solve : x dy= (y+x " cos"^(2)(y)/(x))dx

    Text Solution

    |

  16. Solve : x " sin"(y)/(x).(dy)/(dx)=y " sin"(y)/(x)-x

    Text Solution

    |

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

    Text Solution

    |

  18. The solution of (x^(2) - y^(2)) dx + 2xy dy = 0 is

    Text Solution

    |

  19. The substitution required to change equation (dy)/(dx) = (2x+3y+5)/(4x...

    Text Solution

    |

  20. To change (3x+4y+5) - (2x+3y+4)(dy)/(dx) = 0 into homogeneous equation...

    Text Solution

    |