Home
Class 12
MATHS
The integrating factor of the differenti...

The integrating factor of the differentiable equation
` (xy-1)(dy)/(dx)+y^(2) =0` is

A

`1/x`

B

`1/y`

C

`1/(xy)`

D

xy

Text Solution

Verified by Experts

The correct Answer is:
b
The given equation can be written as
` xy dy + y^(2) dx - dy =0`
` rArr x dy + y dx - 1/y dy = 0`
` rArr d (xy) = (dy)/y`
` rArr int d (xy) = int (dy)/y`
`rArr xy - log y = C`
` rArr 1/y` is integrating factor .
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos

  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos

  • DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|22 Videos

  • DIFFERENTIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORER|35 Videos

Similar Questions

Explore conceptually related problems

The integrating factor of the differential equation (dy)/(dx)=1/(x+y+2) is

The integrating factor of the differential equation : (dx)/(dy)+x/y=y is :

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

Integrating factor of the differential equation (x+1)(dy)/(dx)-y=e^(3x)(x+1)^(2) , is

The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2 is

The integrating factor of differential equation (dy)/(dx)+y=(1+y)/(x) is

The integrating factor of the differential equation (dy)/(dx)+y=(1+y)/(x) , is

The integrating factor of the differential equation (1-x^(2))(dy)/(dx)-xy=1 , is

The integrating factor of the differential equation (dy)/(dx)=y tan x-y^(2)sec x, is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
  1. The equation of a curve passing through (2,7/2) and having gradient ...

    Text Solution

    |

  2. The differential equation of the family of curves for which the length...

    Text Solution

    |

  3. The integrating factor of the differentiable equation (xy-1)(dy)/(d...

    Text Solution

    |

  4. The solution of the differential equation x^(4)(dy)/(dx)+x^(3)y+"cosec...

    Text Solution

    |

  5. The solution of differential equation t = 1 + (ty)(dy)/(dt) + (ty)...

    Text Solution

    |

  6. Form the differential equation of family of lines situated at a con...

    Text Solution

    |

  7. The solution of (y - (xdy)/dx)= 3 (1-x^(2)(dy)/(dx)) is

    Text Solution

    |

  8. The solution of the differential equation y dx - x dy = xy dx is

    Text Solution

    |

  9. A tangent and a normal to a curve at any point P meet the x and y axes...

    Text Solution

    |

  10. The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (...

    Text Solution

    |

  11. Let y = f(x) be a curve passing through (e,e^( e )) which satisfy the...

    Text Solution

    |

  12. The solution of the differential equation xy(dy)/(dx)={(1+y^2)(1+x+x^2...

    Text Solution

    |

  13. Find the equation of the curve such that the portion of the x-axis ...

    Text Solution

    |

  14. The solution of the differential equation ye^(x//y)dx=(xe^(x//y)+y^(...

    Text Solution

    |

  15. The solution of the differential equation x (dy)/(dx) - y + x sin ...

    Text Solution

    |

  16. The solution of the differential equation x dx + y dy+ (x dy - y d...

    Text Solution

    |

  17. Observe the following statement . I . If dy + 2xy dx = 2e^(-x^(2))...

    Text Solution

    |

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

    Text Solution

    |

  19. Solution of x (dy)/(dx) + y = x^(2) y^(4) is

    Text Solution

    |

  20. The solution of differential equation (dt)/(dx) = (t[d/dx{g(x)}]-...

    Text Solution

    |