Home
Class 12
MATHS
If (dy)/(dx)+Py=Q where P and Q are func...

If `(dy)/(dx)+Py=Q` where P and Q are functions of x alone then integrating factor I.F. `= e^(int p dx)`
where `e^(log x)=x, e^(2log x) =e^(log x^(2))=x^(2), e^(-log x)=x^(-1)`
Match the following:

Text Solution

Verified by Experts

The correct Answer is:
`(a) to 2, (b) to 3, (c ) to (5), (d) to 1, (e ) to 4`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |9 Videos

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |10 Videos

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|9 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos

  • DIFFERENTIATION

    ML KHANNA|Exercise MESCELLANEOUS EXERCISE|3 Videos

Similar Questions

Explore conceptually related problems

int(e^(x log a)+e^(a log x)+e^(a log a))dx

int(e^(x log a)+e^(a log x))dx

int(e^(x log a)+e^(a log x))dx

int(e^(6log x)-e^(5log x))/(e^(5log x)-e^(3log x))dx

int e^(x)x^(x)(2+log x)dx=

int e^(x) (e^(log x)+1) dx

Integrate the functions (e^(5log x)-e^(4log x))/(e^(2log x)-e^(2log x))

The value of int(e^(6log x)-e^(5log x))/(e^(4log x)-e^(3log x))dx is equal

Evaluate: int e^(x log a)+e^(a log x)+e^(a log a)dx

Find (dy)/(dx) where (i) y=e^(log x)+tanx

ML KHANNA-DIFFERENTIAL EQUATIONS-Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Solution of the differential equation (dy)/(dx) +y cot x =2 cos x ...

    Text Solution

    |

  2. Solution of the differential equation (1+y^(2))dx =(tan^(-1)y-x)dy...

    Text Solution

    |

  3. Solution of the differential equation (1+x^(2)) (dy)/(dx)+y=tan^(-1)x...

    Text Solution

    |

  4. Solution of the differential equation 2y sin x (dy//dx)=2 sin x cos ...

    Text Solution

    |

  5. The Solution of the equation (dy)/(dx)+2y=sin x is

    Text Solution

    |

  6. The Solution of the equation (dy)/(dx)+y tan x =sec x is

    Text Solution

    |

  7. The Solution of the equation x log x (dy)/(dx) +y = 2 log x is

    Text Solution

    |

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

    Text Solution

    |

  9. The Solution of the equation (1+x^(2)) (dy)/(dx)+2xy -4x^(2)=0

    Text Solution

    |

  10. The solution of differential equation (dy)/(dx)-3y= sin 2x is

    Text Solution

    |

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

    Text Solution

    |

  12. The gradient of the curve passing through (4,0) is given by (dy)/(dx) ...

    Text Solution

    |

  13. Solution of the differential equation sin2x (dy)/(dx) -y=tan x is

    Text Solution

    |

  14. The Solution of the differential equation (dy)/(dx) +(1)/(x)tan y =(1...

    Text Solution

    |

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

    Text Solution

    |

  16. If y(t) is solution of (t+1)(dy)/(dt) -ty =1, y(0)= -1. At t = 1 the s...

    Text Solution

    |

  17. The solution of differential equation (dy)/(dx)(x^(2)y^(3)+xy) =1 is...

    Text Solution

    |

  18. The solution of the differential equation (dy)/(dx)-(x log x)/(1+log...

    Text Solution

    |

  19. If (dy)/(dx)+Py=Q where P and Q are functions of x alone then integrat...

    Text Solution

    |

  20. Let f(x) be differentiable on the interval (0,oo) such that f(1)=1 and...

    Text Solution

    |