Home
Class 12
MATHS
The integrating factor of the linear dif...

The integrating factor of the linear differential equation `(1-x^(2))^(2)(dy)/(dx) + sqrt(1-x^(2))y=x+sqrt(1-x^(2))` is -

A

`(x)/(sqrt(1-x^(2)))`

B

`-(x)/(sqrt(1-x^(2)))`

C

`e^((x)/(sqrt(1-x^(2))))`

D

`e^(-(x)/(sqrt(1-x^(2))))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

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

The integrating factor of the linear differential equation cos^(2)x(dy)/(dx)-ytan 2x=cos^(4)x is -

The integrating factor of the differential equaion (1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x) is-

The integrating factor of the differential equation xdy/dx - y = x^(2) is -

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

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

Find the integrating factor of the differential equation (x + y + 1)(dy)/(dx) =1.

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

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

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

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If int(sinx)^(1) t^(2) f(t) dt =1-sinx, then the value of f((1)/(sqr...

    Text Solution

    |

  2. If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c, then the value of k is...

    Text Solution

    |

  3. The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

    Text Solution

    |

  4. If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then ...

    Text Solution

    |

  5. The value of int sqrt(e^(x)-1)dx is equal to -

    Text Solution

    |

  6. If I(1)=int sin^(-1)x dx and I(2)=int sin^(-1) sqrt(1-x^(2)) dx th...

    Text Solution

    |

  7. The value of int cos^(-(3)/(7)) x sin^(-(11)/(7)) x dx is equal to -

    Text Solution

    |

  8. The value of int(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is eq...

    Text Solution

    |

  9. The value of int((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal t...

    Text Solution

    |

  10. The value of int(0)^(pi/2) (sin^(4)x dx)/(sin^(4)x+cos^(4)x) is equa...

    Text Solution

    |

  11. State which of the following is correct : If f(x) is a continuous f...

    Text Solution

    |

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

    Text Solution

    |

  13. Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4)...

    Text Solution

    |

  14. The solution of the differential equation (x+y)(dx-dy)=dx+dy is -

    Text Solution

    |

  15. The solution of the equation dy=cos x(2-y "cosec"x)dx, where y=(3)/(s...

    Text Solution

    |

  16. The order of differential equations of all parabolas having directrix ...

    Text Solution

    |

  17. The general solution of equation (dy)/(dx)+y= sinx is -

    Text Solution

    |

  18. Solution of the differential equation (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2...

    Text Solution

    |

  19. The degree of the differential equation [1+((dy)/(dx))^(2)]^((3)/(4))...

    Text Solution

    |

  20. Given f(0)=0 and f(x)=(1)/(1-e^(-(1)/(x))) for x ne 0 . Then the fun...

    Text Solution

    |