Home
Class 12
MATHS
Solution of differential equation log((d...

Solution of differential equation `log((dy)/(dx))=x+y` is

A

`e^x + e^y = 0`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|99 Videos

  • 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

Solution of differential equation x(dy)/(dx)=y+x^2 is

The solution of the differential equation log((dy)/(dx))=4x-2y-2,y=1, where x=1 is

Find the particular solution of the differential equation log((dy)/(dx))=3x+4y given that y=0 when x=0

The particular solution of the differential equation log ((dy)/(dx)) = x , when x = 0 , y = 1 is …..

Solution of differential equation: x(dy)/(dx)+y=x^(4)

The general solution of the differential equation ln ((dy)/(dx))+x =0 is ?

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

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

Find the general solution of the differential equation log((dy)/(dx))=(ax+by).

What is the solution of the differential equation log ((dy)/(dx)) = ax + by ?

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -EVALUATION TEST
  1. Solution of differential equation log((dy)/(dx))=x+y is

    Text Solution

    |

  2. The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y...

    Text Solution

    |

  3. The degree of the differential equation (d^3y)/(dx^3)+x((dy)/(dx))^4 =...

    Text Solution

    |

  4. The equation of the curve in which the portion of the tangent included...

    Text Solution

    |

  5. The degree of the differential equation satisfying the relation sqrt(1...

    Text Solution

    |

  6. The solution of the differential equation (dy)/(dx)=y/x+(f(y/x))/((f')...

    Text Solution

    |

  7. The solution of (dy)/(dx)+yf'(x)-f(x).f'(x)=0,y!=f(x) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |