Home
Class 12
MATHS
Solution of the differential equation (1...

Solution of the differential equation `(1+e^(x/y))dx + e^(x/y)(1-x/y)dy=0` is

A

`ye^(y/x)+x=c`

B

`ye^y -x =c `

C

`ye^(x/y)+y=c`

D

`ye^(x/y)+x=c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|99 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

Show that the differential equation (1+e^(x//y))dx+e^(x//y)(1-x/y)dy=0 is homogenous and solve it.

The solution of the differential equation e^(x)dx+e^(y)dy=0 is

The solution of the differential equation e^(x)dx+e^(y)dy=0 is

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

Solution of the differential equation (x-y)(1-(dy)/(dx))=e^(x) is

The solution of the differential equation (dy)/(dx)-e^(x-y)=1 is

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

Solution of the differential equation (xy+y+e^(-x))dx+(x+e^(-x))dy=0 when y(0)=1 Then y(-1)= is equal to (A)(e)/(e-1)(B)(2e)/(e-1)(C)(e)/(1-e)(D)0

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. If any differentisl equation in the form f(f(1)(x,y)d(f(1)(x,y)+phi(...

    Text Solution

    |

  2. The solution of the differential equation y"dy"/"dx"=x[y^2/x^2 + (phi(...

    Text Solution

    |

  3. Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy...

    Text Solution

    |

  4. Solution of the differential equation y cos\ y/x (x dy-y dx)+xsin\ y/x...

    Text Solution

    |

  5. The slope of the tangent at (x , y) to a curve passing through a po...

    Text Solution

    |

  6. Integrating factor of x(dy)/(dx) - y = x^(4) - 3x is

    Text Solution

    |

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

    Text Solution

    |

  8. The integrating factor of the differential equation (1+x^2)(dy)/(dx)+y...

    Text Solution

    |

  9. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is (...

    Text Solution

    |

  10. The integrating factor of the differential equation (dy)/(dx)+y=(1+y)/...

    Text Solution

    |

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

    Text Solution

    |

  12. IF sin x is the integerating factor (I.F ) of the linear diff...

    Text Solution

    |

  13. The solution of (dy)/(dx)+P(x)y=0, is

    Text Solution

    |

  14. Find the general solution of (dy)/(dx)+ay=e^(mx)

    Text Solution

    |

  15. Find the general solution of each of the following differential equat...

    Text Solution

    |

  16. Solution of differential equation x(dy)/(dx)=y+x^2 is

    Text Solution

    |

  17. Find the general solution of the differential equation x(dy)/(dx)+2y=...

    Text Solution

    |

  18. y+x^2="dy"/"dx" has the solution

    Text Solution

    |

  19. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

    Text Solution

    |

  20. The solution of (y-3x^2)dx +xdy=0 is

    Text Solution

    |