Home
Class 12
MATHS
An integrating factor of the differentia...

An integrating factor of the differential equation
`ylogy(dx)/(dy)+x-logy=0`, is

A

`(1)/(logy)`

B

`log (log y)`

C

`1+log y`

D

`logy`

Text Solution

Verified by Experts

The correct Answer is:
D
Given differential equation can be rewritten as
` (dx ) /( dy ) = ((log y - x ) ) /( y log y ) `
` rArr (dx)/(dy)+ ( x ) /( y log y ) = ( 1 )/( y ) `
` therefore IF = e ^( int ( 1 )/( y log y ) dy ) `
` = e ^( log log y ) = log y `
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 14

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

  • PRACTICE SET 16

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper - 2 (MATHEMATICS )|50 Videos

Similar Questions

Explore conceptually related problems

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

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

Integrating factor of the differential equation (x.logx)(dy)/(dx)+y=2logx is

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

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

Integrating factor of differential equation : (dy)/(dx)+y=3 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 = x is ……………………

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 15-PAPER 2 (MATHEMATICS)
  1. int(0)^(pi)(1)/(1+sin x)dx is equal to

    Text Solution

    |

  2. The area bounded in the first quadrant by the normal at (1,2)on the cu...

    Text Solution

    |

  3. Probability of throwing 16 in one throw with there dice is

    Text Solution

    |

  4. The probability of choosing a number divisible by 6 or 8 from among 1 ...

    Text Solution

    |

  5. The records of a hospital show that 10% of the cases of a certain dise...

    Text Solution

    |

  6. In DeltaABC,a=2,b=3andsinA=(2)/(3), then B is equal to

    Text Solution

    |

  7. If sin^(-1)x=pi/5,forsom ex in (-1,1), then find the value of cos^(-1)...

    Text Solution

    |

  8. Equation cos 2x+7=a(2-sin x) can have a real solution for

    Text Solution

    |

  9. An integrating factor of the differential equation ylogy(dx)/(dy)+x-...

    Text Solution

    |

  10. The general solution of the differential equaiton (1+y^(2))dx+(1+x^(2)...

    Text Solution

    |

  11. int (e^(x)+e^(-x))^(2)*(e^(x)-e^(-x))dx is equal to

    Text Solution

    |

  12. The ratio in which YZ-plane divided the line segment joining (-3,4,-2)...

    Text Solution

    |

  13. The cosine of the angle of the triangle with vertices A(1,-1,2),B(6,11...

    Text Solution

    |

  14. The angle between the line (3x-1)/3=(y+3)/(-1)=(5-2z)/4 and the plane ...

    Text Solution

    |

  15. Find the co-ordinates of the foot of perpendicular drawn from point A...

    Text Solution

    |

  16. If A and B are two enents such that P (A uuB)=3/4, P(A nnB)=1/4, P(bar...

    Text Solution

    |

  17. एक व्यक्‍ति के बारे में ज्ञात है कि वह 4 में से 3 बार सत्य बोलता है। व...

    Text Solution

    |

  18. The system of equations 2x - y + z = 0,x-2y + z = 0 and lambdax - y +...

    Text Solution

    |

  19. A plane makes intercepts -6,3,4 upon the coordinate axes. Then, the le...

    Text Solution

    |

  20. The graph of x le 2 and y ge 2 will be situated in the

    Text Solution

    |