Home
Class 12
MATHS
Solve : (x-y log y+y log x)dx+x(logy-log...

Solve : `(x-y log y+y log x)dx+x(logy-logx)dy=0`

Text Solution

Verified by Experts

The correct Answer is:
`y + cx`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Example|2 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Additional Solved Example|8 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

Solve y log y dx + (x-log y) dy = 0.

Solve y(1+x)dx+x(1+y)dy=0

If x^2 + y^2 = 10xy , prove that 2 log (x + y) = log x + log y + 2 log 2 + log 3 .

If x^(2) + y^(2)=6xy , prove that 2 log (x+ y)= log x + log y + 3 log 2

If x^2 + y^2 = 6xy , prove that 2 log (x + y) = logx + logy + 3 log 2

We can write log"" x/y = log (x.y^(-1 )) Can you prove that log"" x/y = log x - logy using product and power rules.

Show that f(x, y)=x-y log y+y log x is a homogeneous function of x and y.

Solve : (y dx+x dy)x "cos"(y)/(x)=(x dy-y dx) y " sin "(y)/(x)

If x ^( log y) = log x, then prove that (dy)/(dx) = (y)/(x) ((1- log x log y)/( (log x) ^(2)))

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. Solve : (x-y log y+y log x)dx+x(logy-logx)dy=0

    Text Solution

    |

  2. The degree and order of the differential equation [1+2((dy)/(dx))^(2)]...

    Text Solution

    |

  3. The order and degree of the differential equation (1+3y(1))^(2//3) = 4...

    Text Solution

    |

  4. Degree and order of differential equation y = x(dy)/(dx) + msqrt(1+((d...

    Text Solution

    |

  5. The order and degree of ((d^(4)y)/(dx^(4)) + (d^(2)y)/(dx^(2)))^((5)/(...

    Text Solution

    |

  6. The order degree of the D.E. corres ponding to the family of curve y =...

    Text Solution

    |

  7. The degree and order of D.E. of the family of rectangular hyperbolas w...

    Text Solution

    |

  8. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  9. If the differential equation formed by eliminating a,b,c from the equa...

    Text Solution

    |

  10. The differential equation of family of coaxal circles x^(2) + y^(2) + ...

    Text Solution

    |

  11. The D.E. of the family of circles touching X-axis at (0,0) is (or) The...

    Text Solution

    |

  12. The differential equations of hyperbolas with coordinate axis as asymp...

    Text Solution

    |

  13. The differential equation of the family of hyperbolas having centres a...

    Text Solution

    |

  14. The solution of (dy)/(dx) = e^(x+y)+ x^(2)e^(x^(3)+y) is

    Text Solution

    |

  15. The solution of the differential equation (dy)/(dx) = (xy + y)/(yx + x...

    Text Solution

    |

  16. The solution of ydx - xdy = xydx is

    Text Solution

    |

  17. Solution of log ((dy)/(dx)) = 3x+4y, y(0) = 0 is

    Text Solution

    |

  18. The solution of y = x(dy)/(dx) + a sqrt(1+((dy)/(dx))^(2)) is

    Text Solution

    |

  19. (dy)/(dx) = xy + x + y +1 has the solution

    Text Solution

    |

  20. The solution of (x^(2)-y^(2)x^(2))(dy//dx) +(y^(2)+x^(2)y^(2)) = 0 is

    Text Solution

    |

  21. The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

    Text Solution

    |