Home
Class 12
MATHS
The Integrating Factor of the differenti...

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

A

`e^(-x)`

B

`e^(-y)`

C

`1/x`

D

`x`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    V PUBLICATION|Exercise QUESTION BANK|136 Videos
  • INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|396 Videos

Similar Questions

Explore conceptually related problems

Find the integrating factor of the differential equation xdy/dx-y=2x^2

If the integrating factor of the differential equation (dy)/(dx)+P(x)y=Q(x) is x, then P(x) is

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

An integrating factor of the differential equations x (dy)/(dx) + y log x = xe^(x) x ^(-(1)/(2) log x) , (x ge 0 ) is:

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

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

The intergrating factor of the differential equation (1 -y^2)(dx)/(dy) + yx = ay (-1 lt y lt 1) is

An integrating factor of the differential equation (1 + x^(2)) (dy)/(dx) + xy = x is a) (x)/(1 + x^(2)) b) (1)/(2) log (1 + x^(2)) c) sqrt(1 + x^(2)) d)x

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

V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Find the equation of a curve passing through the origin given that the...

    Text Solution

    |

  2. Find the equation of a curve passing through the point (0,2) given tha...

    Text Solution

    |

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

    Text Solution

    |

  4. The intergrating factor of the differential equation (1 -y^2)(dx)/(dy...

    Text Solution

    |

  5. Verify that the function y=c1 e^(a x) cos b x+c2 e^(a x) sin b x, wher...

    Text Solution

    |

  6. Form the differential equation of the family of circles in the second ...

    Text Solution

    |

  7. Find the particular solution of the differential equation log ((dy)/(d...

    Text Solution

    |

  8. Solve the differential equation (x d y-y d x) y sin (y/x)=(y d x+x d y...

    Text Solution

    |

  9. Solve the differential equation (tan ^-1 y-x) d y=(1+y^2) d x

    Text Solution

    |

  10. For each of the differential equations given below, indicate its order...

    Text Solution

    |

  11. Verify that the given fuction (implicit or explicit) is a solution of ...

    Text Solution

    |

  12. Form the differential equation representing the family of curves given...

    Text Solution

    |

  13. Prove that x^2 - y^2 = c(x^2 + y^2)^2 is the general solution of the d...

    Text Solution

    |

  14. Form the differential equation of the family of circles in the first q...

    Text Solution

    |

  15. Find the general solution of the differential equation. (dy)/(dx)+sqrt...

    Text Solution

    |

  16. Show that the general solution of the differential equation (dy)/(dx)+...

    Text Solution

    |

  17. Find the equation of the curve passing through the point (0 , pi/4) wh...

    Text Solution

    |

  18. Find the particular solution of the differential equation (1+e^(2 x)) ...

    Text Solution

    |

  19. Solve the differential equation y e^(x/y) d x=(x e^(x/y)+y^2) d y(y ne...

    Text Solution

    |

  20. Find a particular solution of the differential equation (x-y)(d x+d y)...

    Text Solution

    |