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

The general solution of the differential equation `(1+x y)y dx+x(1-x y)dy=0` is

A

`x/y+1/"xy"=k`

B

`log (x/y)=1/"xy"+k`

C

`x/y=e^(xy)+k`

D

`log(x/y)=xy+k`

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

Solution of the differential equation (1+x)y dx+(1-y)x dy=0 is

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

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

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

General solution of the differential equation (dy)/(dx)=1+x + y is

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

The solution of differential equation (1+x) y dx +(1-y) x dy = 0 is

What is the general solution of the differential equation e^(x) tan y dx + (1 - e^(x) ) sec^(2) y dy = 0 ?

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. The solution of the differential equation cos y log (sec x + tan x)dx=...

    Text Solution

    |

  2. The solution of the equation sqrt(a+x) dy/dx + x =0 is

    Text Solution

    |

  3. The general solution of the differential equation (1+x y)y dx+x(1-x y)...

    Text Solution

    |

  4. The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is (a) ( b ) (c...

    Text Solution

    |

  5. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0?

    Text Solution

    |

  6. The solution of y'-y = 1 , y(0)=-1 is given by y(x) =

    Text Solution

    |

  7. The solution of e^(dy//dx) = (x+1) , u (0) = 3 is

    Text Solution

    |

  8. The solution of (dy)/(dx)+1 = e^(x+y) is

    Text Solution

    |

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

    Text Solution

    |

  10. The solution of the differential of the differential equation (dy)/...

    Text Solution

    |

  11. The solution of dy//dx=cos(x+y)+sin(x+y), is given by

    Text Solution

    |

  12. The solution of differential equation x^2 dy/dx=x^2+xy+y^2 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |