Home
Class 12
MATHS
The integrating factor of (dy)/(dx)+y=(1...

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

A

`x/e^(x)`

B

`e^(x)/x`

C

`xe^(x)`

D

`e^(x)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

Integrating factor of x(dy)/(dx) -y = x^(4) -3x is

Solution of dy/dx = y/(x+y) is

Solution of dy/dx = (x+Y)/(x-y) is

The integrating factor of the differential equation x.(dy)/(dx)+2y=x^(2) is (x ne 0)

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

The integrating factor of the differential equation (2x+3y^(2))dy=y dx(ygt0) is

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

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The solution of (dy)/(dx)+y=e^(-x),y(0)=0 is :

    Text Solution

    |

  2. Find the general solution of the differential equation (dy)/(dx) = (1 ...

    Text Solution

    |

  3. The integrating factor of (dy)/(dx)+y=(1+y)/x is

    Text Solution

    |

  4. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

    Text Solution

    |

  5. The solution of the differential equation cosx siny dx + sin x cos y d...

    Text Solution

    |

  6. The solution of x dy/dx +y = e^(x) is

    Text Solution

    |

  7. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

    Text Solution

    |

  8. Family y=Ax + A^3 of curves will correspond to a differential equatio...

    Text Solution

    |

  9. The general solution of dy/dx = 2xe^(x^(2)-y) is

    Text Solution

    |

  10. The curve for which the slope of the tangent at any point equals the r...

    Text Solution

    |

  11. The general solution of the differential equation dy/dx = e^(x^(2)/2)+...

    Text Solution

    |

  12. The solution of the equation (2y-1) dx- (2x+3)dy =0 is

    Text Solution

    |

  13. The differential equation for which y = a cos x + b sin x is

    Text Solution

    |

  14. The order and the degree of the equation [1+(dy/dx)^(2)] = (d^(2)y)/(d...

    Text Solution

    |

  15. Which of the following is the general solution of (d^(2)y)/dx^(2) - 2...

    Text Solution

    |

  16. The differential equation of the family of curves y^(2) = 4a(x+a) is

    Text Solution

    |

  17. General solution of (dy)/(dx)+ytan x = sec x is :

    Text Solution

    |

  18. Solution of the differential equation dy/dx +y/x = sin x is

    Text Solution

    |

  19. The general solution of the differential equation (e^(x)+1)y dy = (y+1...

    Text Solution

    |

  20. The solution of the differential equation dy/dx = e^(x-y)+ x^(2)e^(-y)...

    Text Solution

    |