Home
Class 12
MATHS
Solve the following differential equatio...

Solve the following differential equation:
`(1+ e ^(y/x)) dy + e^(y/x) (1- y/x) dx = 0 (x ne 0)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

Similar Questions

Explore conceptually related problems

Solve the following differential equation: (dy)/(dx)+1=e^(x+y)

Solve the following differential equation: (dy)/(dx)=(e^x+1)y

Solve the following differential equation: (1+x)y dx+(1+y)x\ dy=0

Solve the following differential equation. (dy)/(dx)=e^(x+y)

Solve the following differential equations: (dy)/(dx)-1=e^(x-y)

Solve the following differential equation: (1+e^(2x))dy+(1+y^2)e^xdx=0

Solve the following differential equation: (dy)/(dx)+y=e^(-2x)

Solve the following differential equation: (1+e^(x//y))dx+e^(x//y)(1-x/y)dy=0

Solve the following differential equation: x y(dy)/(dx)=1+x+y+x y

Solve the following differential equation: (1-x^2)dy+x y\ dx=x y^2dx

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. If A is a non- singular square matrix of the order 3xx3 such that A^2=...

    Text Solution

    |

  2. If P(1,0,-3) is the foot of the perpendicular from the origin to the p...

    Text Solution

    |

  3. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

    Text Solution

    |

  4. Evaluate: int0^(pi/2) (sin2x tan^(-1)(sinx))dx

    Text Solution

    |

  5. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

    Text Solution

    |

  6. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

    Text Solution

    |

  7. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

    Text Solution

    |

  8. Amongst all open (from the top) right circular cylindrical boxes of vo...

    Text Solution

    |

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

    Text Solution

    |

  10. If y=e^{a\cos ^{-1}x},-1lt=xlt=1,show that (1-x^2)(d^2y)/(dx^2)-x(dy)/...

    Text Solution

    |

  11. Find f'(x) if f(x) = tan x^(tan x)

    Text Solution

    |

  12. Amongst all open (from the top) right circular cylindrical boxes of vo...

    Text Solution

    |

  13. the domain of the function f(x) = sin^(-1) (2x) is (a) [0,1] (b) ...

    Text Solution

    |

  14. Using the method of integration find the area of the triangle ABC, ...

    Text Solution

    |

  15. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

    Text Solution

    |

  16. If A = [ (-3 , 2) , (1, -1)] and I = [(1,0) , (0, 1)], find the scalar...

    Text Solution

    |

  17. Form the differential equation representing the family of curves y = ...

    Text Solution

    |

  18. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

    Text Solution

    |

  19. Find f'(x) if f(x) = (tanx)^(tanx)

    Text Solution

    |

  20. the interval in which the function f given by f(x) = x^2 e^(-x) is str...

    Text Solution

    |