Home
Class 12
MATHS
Solution of the equation (dy)/(dx)=e^(x-...

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

A

`e^y=1+c/e^x`

B

`e^y=e^x-1+ce^(e^x)`

C

`e^x = e^y + 1 + ce^(e^y)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|124 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

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

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

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

The solution of the differential equation (dy)/(dx)-e^(x-y)=1 is

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

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

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -EVALUATION TEST
  1. The solution of (dy)/(dx)+yf'(x)-f(x).f'(x)=0,y!=f(x) is

    Text Solution

    |

  2. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x...

    Text Solution

    |

  3. The solution of dy/dx = (x^2+y^2+1)/(2xy) satisfying y(1)=0 is given b...

    Text Solution

    |

  4. The solution of the differential equation xdx+ydy+(xdy-ydx)/(x^(2)+y^(...

    Text Solution

    |

  5. The solution of the differential equation 2x^2y"dy"/"dx"=tan(x^2y^2) ...

    Text Solution

    |

  6. The solution of the differential equation x^(3)(dy)/(dx)+4x^(2) tany=e...

    Text Solution

    |

  7. The general solution of the differential equation (dy)/(dx) = y tan x ...

    Text Solution

    |

  8. The equation of the curve satisfying the eqution (xy=x^(2)) (dy)/(dx)...

    Text Solution

    |

  9. Solution of the equation (dy)/(dx)=e^(x-y)(1-e^y) is

    Text Solution

    |

  10. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  11. The differential equation (dy)/(dx)=sqrt(1-y^(2))/(y) determines a fam...

    Text Solution

    |

  12. Which one of the following functions is not homogeneous ?

    Text Solution

    |

  13. A curve passes through (1,pi/4) and at (x,y) its slope is (sin 2y)/(x+...

    Text Solution

    |

  14. The equation of the family of curves which intersect the hyperbola xy-...

    Text Solution

    |

  15. Find the equation of a curve passing through (0,1) and having gradient...

    Text Solution

    |

  16. The normal to a given curve at each point (x ,y) on the curve passes t...

    Text Solution

    |

  17. Solution of the equation xdy – [y + xy^3 (1 + log x)] dx = 0 is :

    Text Solution

    |

  18. Let f be a real-valued differentiable function on R (the set of ...

    Text Solution

    |

  19. Let I be the purchase value of an equipment and V(t) be the value afte...

    Text Solution

    |

  20. The slope of the tangent at (x , y) to a curve passing through (1,p...

    Text Solution

    |