Home
Class 12
MATHS
The general solution of x(dy)/(dx)=y-xta...

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

A

`x sin (x/y) +c =0`

B

`xsiny +c =0`

C

`xsin (y/x) =c`

D

none of these

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

The general solution of x(dy)/(dx)=y-x tan(y/x) is ……. .

The general solution of (dy)/(dx)=(2x-y)/(x+2y) is

The general solution of (x)/(y)(dy)/(dx)=root(4)((y)/(x)) is

General solution of (dy)/(dx)=e^(y-x) is

General solution of y-x(dy)/(dx)=8(y^(2)+(dy)/(dx)) is

General solution of y -x (dy)/(dx) = 0

General solution of y -x (dy)/(dx) = 0

General solution of (dy)/(dx)=e^(x-y) is

General solution of (dy)/(dx)-(y^(2))/(x^(2))=0 is

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. y log ydx-xdy=0

    Text Solution

    |

  17. The solution of the DE x cos y dy = (x e ^(x) log x + e ^(x)) dx is

    Text Solution

    |

  18. Find the orthogonal trajectories of xy=cdot

    Text Solution

    |

  19. Which one of the following curves represents the solution of the initi...

    Text Solution

    |

  20. Which of the following transformations reduce the differential equatio...

    Text Solution

    |