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

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

A

`x^(log +x)`

B

`(sqrtx)^(log x )`

C

`(sqrte)^(log x)`

D

`e^(x^2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|124 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

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

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

Write integrating factor differential equations x(dy)/(dx)+y log x= x+y

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

Integrating factor of linear differential equation x(dy)/(dx) + 2y = x^(2) log x is

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

Integrating factor of the differential equation (x+1)(dy)/(dx)-y=e^(3x)(x+1)^(2) , is

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

The solution of the differential equation (dy)/(dx)= x log x is

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. The integrating factor of the differential equation (dy)/(dx)(x(log...

    Text Solution

    |

  2. The integrating factor of the differential equation (1-x^(2))(dy)/(d...

    Text Solution

    |

  3. An integrating factor of the differential equation x(dy)/(dx) +y l...

    Text Solution

    |

  4. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

    Text Solution

    |

  5. The solution of the differential equation (dy)/(dx)+2ycotx=3x^2cosec^2...

    Text Solution

    |

  6. The solution of "dy"/"dx"+2ytan x =sin x is

    Text Solution

    |

  7. The solution of the equation dy/dx=1/(x+y+1) is

    Text Solution

    |

  8. The solution of the differential equation x"dy"/"dx"+y=x^2 +3x +2 is

    Text Solution

    |

  9. The solution of the differential equation xlogx(dy)/(dx)+y=2logx is

    Text Solution

    |

  10. The solution of the differential equation (dy)/(dx) +(3x^(2))/(1+x...

    Text Solution

    |

  11. Solution of the differential equation (dy)/(dx)+ysec^2 x = tan x sec^2...

    Text Solution

    |

  12. Solution of the equation (x+2y^3)(dy)/(dx)-y=0 , (y > 0) is

    Text Solution

    |

  13. Solution of the equation (x+log y ) dy + y dx =0 is

    Text Solution

    |

  14. The integrating factor of the differential equation (dy)/(dx)=y tan x-...

    Text Solution

    |

  15. The solution of the differential equation x(dy)/(dx) = 2y + x^(3)e^(x...

    Text Solution

    |

  16. If x dy =y (dx+y dy), y(1) =1and Y(x)gt 0. Then, y (-3) is epual to

    Text Solution

    |

  17. The slope of the tangent to the curve at any point is equal to y + 2x....

    Text Solution

    |

  18. The population of a town increases at a rate proportional to the popul...

    Text Solution

    |

  19. The rate of increases of bacteria in a certain culture is proportional...

    Text Solution

    |

  20. A body cool from 90^@C to 70^@C in 10 minutes if temperature of surrou...

    Text Solution

    |