Home
Class 12
MATHS
y log y dx - x dy = 0...

`y log y dx - x dy = 0`

Text Solution

Verified by Experts

The correct Answer is:
`y = e^(cx)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.6|19 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.3|12 Videos

  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

  • INTEGRALS

    NCERT BANGLISH|Exercise EXERCISE 7.12|44 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx , when x log x + y log y + xy - 5x + 2y + 3 = 0

Solve x log x(dy)/(dx) + y = 0

Find the general solution of (x+log y)dy + y dx =0

Solve: 2^(x-y) dx + 2^(y-x) dy = 0

(x - y)dy - (x + y) dx = 0

y dx + x log ((y)/(x))dy - 2xdy = 0

Solve: log (dy)/(dx) = 4x - 2y-2 : given y = 1, when x = 1.

y dx + (x - y^(2))dy = 0

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

If y=x^(y^(x)) , prove that, (dy)/(dx)=(y log y(1+x logx log y))/(x logx(1-x logy)) .

NCERT BANGLISH-DIFFERENTIAL EQUATIONS-EXERCISE - 9.4
  1. sec^(2)x tan y dx + sec^(2) y tan x dy = 0

    Text Solution

    |

  2. (e^(x) + e^(-x))dy - (e^(x) - e^(-x)) dx = 0

    Text Solution

    |

  3. (dy)/(dx) = (1 + x^(2))(1 + y^(2))

    Text Solution

    |

  4. y log y dx - x dy = 0

    Text Solution

    |

  5. x^(5)(dy)/(dx) = - y^(5)

    Text Solution

    |

  6. For each of the differential equation find the general solution (dy)/(...

    Text Solution

    |

  7. e^(x) tan y dx + (1 - e^(x))sec^(2)y dy = 0

    Text Solution

    |

  8. For each of the differential equations in Exercises 11 to 14, find a p...

    Text Solution

    |

  9. x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x = 2.

    Text Solution

    |

  10. cos ((dy)/(dx)) = a (a ne R), y = 1 when x = 0

    Text Solution

    |

  11. (dy)/(dx) = y tan x, y = 1 when x = 0

    Text Solution

    |

  12. Find the equation of a curve passing through the point (0,0) and whose...

    Text Solution

    |

  13. For the differential equation xy(dy)/(dx) = (x + 2)( y + 2), find the ...

    Text Solution

    |

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

    Text Solution

    |

  15. At any point (x,y) of a curve, the slope of the tangent is twice the s...

    Text Solution

    |

  16. The volume of spherical balloon being inflated changes at a constant r...

    Text Solution

    |

  17. In a bank, principal increases continuously at the rate of r% per year...

    Text Solution

    |

  18. In a bank, principal increases continuously at the rate of 5% per year...

    Text Solution

    |

  19. In a culture, the bacteria count is 1,00,000. The number is increased...

    Text Solution

    |

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

    Text Solution

    |