Home
Class 12
MATHS
The general solution of differential equ...

The general solution of differential equation `dy/dx=(x+y)/(x-y)` is

A

`log_e(x^2-y^2)+2tan^(-1)y/x=c`

B

`y^2/2+xy=xy-x^2/2+c`

C

`(1+x/y)y=(1-x/y)x+c`

D

`y=x-2 log_e y+c `

Text Solution

Verified by Experts

The correct Answer is:
A
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

The general solution of the differential equation (dy)/(dx)=(y)/(x) is

Solution of the differential equation (dy)/(dx)=(x-y)/(x+y) is

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

If y=(x)/(In|cx|) (where c is an arbitrary constant) is the general solution of the differential equation (dy)/(dx)=(y)/(x)+phi((x)/(y)) then function phi((x)/(y)) is:

If y=(x)/(log|cx|) (where c is an arbitrary constant) is the general solution of the differential equation (dy)/(dx)=(y)/(x)+varphi((x)/(y)) then the function varphi((x)/(y)) is

If the general solution of the differential equation (dy)/(dx)=(y)/(x)+phi((x)/(y)) , for some functions phi is given by y ln|cx|=x, where c is an arbitrary constant then phi(2) is equal to

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

General solution of differential equation x(dy)/(dx)+y=0

The general solution of the differential equation (dy)/(dx)=(x+y+1)/(2x+2y+1) is:

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

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. The general solution of the differential equation (x^2+xy)y'=y^2 is

    Text Solution

    |

  2. The solution of the differential equ (x^2 + y^2) dx = 2 xy dy is-

    Text Solution

    |

  3. The general solution of differential equation dy/dx=(x+y)/(x-y) is

    Text Solution

    |

  4. If any differentisl equation in the form f(f(1)(x,y)d(f(1)(x,y)+phi(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |