Home
Class 12
MATHS
The I.F of x((dy)/(dx))+(logx)y=x^(-1/2...

The I.F of `x((dy)/(dx))+(logx)y=x^(-1/2logx)` is

Text Solution

Verified by Experts

`(dy)/(dx)+(log x)/(x) y = x^(-1/2 log x)`
I.F `= e^(int(log x)/(x)dx)=e^((log x)^(2)/(2))=(e^(log x))^((log x)/(2))=x^(1/2 log x)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

x(dy)/(dx)=y(logy-logx-1)

Solve x((dy)/(dx))=y(logy-logx+1)

(dy)/(dx)=(cos(logx))/(log_(e)y)

Find (dy)/(dx) , when y=(logx)^(x)+x^(logx)

Find dy/dx : y=(logx)^x

Find (dy)/(dx) , when y=(x log x)^(log(logx))

The solution of the differential equation x(x^2+1)((dy)/(dx))=y(1-x^2)+x^3logx is

If x^(y) =e^(x-y) , prve that , (dy)/(dx) =(logx)/((log ex)^(2)) .

The solution of the equation (dy)/(dx)=(x(2logx+1))/(siny+ycosy) is

Find (dy)/(dx) , when y=(sinx)/(logx)

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. If ye^(y) dx = (y^(3) + 2xe^(y))dy, then the I.F will be

    Text Solution

    |

  2. Find y(x) from the differential equation (dy)/(dx)-x^2y = 0,

    Text Solution

    |

  3. The I.F of x((dy)/(dx))+(logx)y=x^(-1/2logx) is

    Text Solution

    |

  4. Find the I.F of the differential equation (1+tany)(dx-dy)+2x dy=0

    Text Solution

    |

  5. The I.F of the differential equation (dy)/(dx)+(3)/(x)y=3 cos xis

    Text Solution

    |

  6. The solution of the differential equation (xdy+ydx)=(xy+1)dy is

    Text Solution

    |

  7. The general solution of the differential equation (dy)/(dx) = y tan x ...

    Text Solution

    |

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

    Text Solution

    |

  9. A differentiable function satisfies f(x) = int(0)^(x) (f(t) cot t - co...

    Text Solution

    |

  10. The solution of differential equation y(1 + e^(x)) dx - e^(x) dy = 0

    Text Solution

    |

  11. The solution of differential equation x^(2)(x dy + y dx) = (xy - 1)^(2...

    Text Solution

    |

  12. Solution of the differential (x+2y^(3))=(dx)/(dy)y is

    Text Solution

    |

  13. General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(...

    Text Solution

    |

  14. Solution of the differential y' = (3yx^(2))/(x^(3)+2y^(4)) is

    Text Solution

    |

  15. For y gt 0 and x in R, ydx + y^(2)dy = xdy where y = f(x). If f(1)=1, ...

    Text Solution

    |

  16. An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx ...

    Text Solution

    |

  17. The solution of (y(1+x^(-1))+siny)dx +(x+log x +x cos y)dy=0 is

    Text Solution

    |

  18. The solution of (1+x)(dy)/(dx)+1=e^(x-y) is

    Text Solution

    |

  19. The solution of differential equation x sec((y)/(x))(y dx + x dy)="y c...

    Text Solution

    |

  20. Solvex dy + y dx = (ydx - xdy)/(x^2 + y^2)

    Text Solution

    |