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

The solution of the differential equation `x+y(dy)/(dx)=2y` is

A

`log(y-x)=c+(y-x)/x`

B

`log(y-x)=c+x/(y-x)`

C

`y-x=c+log(x)/(y-x)`

D

`y-x=c+x/(y-x)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|124 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 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 differential equation x(dy)/(dx)+y = y^2 is

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

The solution of the differential equation ((x+2y^(3))dy)/(dx)=y is

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

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

The solution of the differential equation x(dy)/(dx)=y ln ((y^(2))/(x^(2))) is (where, c is an arbitrary constant)

The solution of the differential equation (y^(2)+2x) (dy)/(dx)=y satisfies x=1, y=1. Then, the solution is

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. The solution of the equation "dy"/"dx"=y/x("log"y/x+1) is

    Text Solution

    |

  2. The differential equation (x + y)dx + xdy=0 is

    Text Solution

    |

  3. The solution of the differential equation x+y(dy)/(dx)=2y is

    Text Solution

    |

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

    Text Solution

    |

  5. The solution of the differential equation 2xy"dy"/"dx"=x^2+3y^2 is

    Text Solution

    |

  6. The solution of the differential equation "dy"/"dx"=x/(2y-x) is

    Text Solution

    |

  7. If y'=(x-y)/(x+y) , then its solution is

    Text Solution

    |

  8. Which of the following equation is non-linear ?

    Text Solution

    |

  9. Which of the following equation is linear ?

    Text Solution

    |

  10. Integrating factor of the equation (x^2+1)"dy"/"dx"+2xy=x^2-1 is

    Text Solution

    |

  11. The integrating factor of the differential equation (dy)/(dx)(x(log...

    Text Solution

    |

  12. The integrating factor of the differential equation (1-x^(2))(dy)/(d...

    Text Solution

    |

  13. An integrating factor of the differential equation x(dy)/(dx) +y l...

    Text Solution

    |

  14. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

    Text Solution

    |

  15. The solution of the differential equation (dy)/(dx)+2ycotx=3x^2cosec^2...

    Text Solution

    |

  16. The solution of "dy"/"dx"+2ytan x =sin x is

    Text Solution

    |

  17. The solution of the equation dy/dx=1/(x+y+1) is

    Text Solution

    |

  18. The solution of the differential equation x"dy"/"dx"+y=x^2 +3x +2 is

    Text Solution

    |

  19. The solution of the differential equation xlogx(dy)/(dx)+y=2logx is

    Text Solution

    |

  20. The solution of the differential equation (dy)/(dx) +(3x^(2))/(1+x...

    Text Solution

    |