Home
Class 12
MATHS
Solve: (xdy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx...

Solve: `(xdy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx`

A

`y =xcot (c-x)`

B

`cos^-1 y/x = -x +c`

C

`y = xtan(c-x)`

D

`y^2/x^2 =xtan(c-x)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 2|48 Videos

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 3|52 Videos

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos

  • DIFFERENTIABILITY

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|15 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

Similar Questions

Explore conceptually related problems

Solution of the differential equation (xdy)/(x^(2)+y^(2))=((y)/(x^(2)+y^(2))-1)dx , is

Solve: (x-y)^2(dy)/(dx)=1

Solve: (y)/(x)(dy)/(dx)+(2(x^(2)+y^(2))-1)/(x^(2)+y^(2)+1)=0

solve: (dy)/(dx)=(2x)/(1+y)

Solve 2(dy)/(dx)=(y)/(x)+(y^(2))/(x^(2))

(a) Solve (dy)/(dx)=(y+2)/(x-1)

Solve (dy)/(dx)=(y)/(2y In y+y-x).

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

solve xdy/dx-y=2x^2

MOTION-DIFFERENTIAL EQUATION -Exercise 1
  1. If y =e^((k+1)x) is a solution of differential equation d^2y/dx^2 -4dy...

    Text Solution

    |

  2. The solution to the differential equation ylogy+x y^(prime)=0, where y...

    Text Solution

    |

  3. Solve: (xdy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx

    Text Solution

    |

  4. The solution of the differential equation dy =sec^2x dx is -

    Text Solution

    |

  5. The solution of the differential equation dy/dx = (1+x)(1+ y^2) is -

    Text Solution

    |

  6. The general solution of the differential equation, y^(prime)+yvarph...

    Text Solution

    |

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

    Text Solution

    |

  8. The general solution of x(dy)/(dx)=y-xtan((y)/(x)) is . . . .

    Text Solution

    |

  9. x(dy)/(dx)=y(logy-logx+1)

    Text Solution

    |

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

    Text Solution

    |

  11. The solution of the equation x(dy)/(dx) +3y=x is

    Text Solution

    |

  12. The solution of the differential equation (1+y^(2)) dx = (tan^(-1) ...

    Text Solution

    |

  13. The solution of the differential equation (2x -10 y^3) dy/dx +y =0 is

    Text Solution

    |

  14. The solution of the differential equation dy/dx +y =cosx is -

    Text Solution

    |

  15. The solution of the differential equation (dy)/(dx)+(y)/(x)=x^(2), is

    Text Solution

    |

  16. Number of values of m in N for which y=e^(mx) is a solution of the dif...

    Text Solution

    |

  17. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

    Text Solution

    |

  18. The general solution of the differential equation dy/dx = (1-x)/y is a...

    Text Solution

    |

  19. Solve sec^(2)x tany dx+sec^(2)y tanx dy=0

    Text Solution

    |

  20. y log ydx-xdy=0

    Text Solution

    |