Home
Class 12
MATHS
The solution of (x+y)^2 dy/dx=1 is…………...

The solution of `(x+y)^2 dy/dx=1` is…………

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

Similar Questions

Explore conceptually related problems

The solution of (1+x^2) "dy"/"dx"=1 is

The solution of (1+x^2)(dy)/(dx)=1 is

The solution of cos(x + y) dy = dx is

The solution of (dy)/(dx)+y/3=1 is

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

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

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

Solution of (dy)/(dx)+2x y=y is

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

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

CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. The differential equation y dy/dx+x=0 represents family of……..

    Text Solution

    |

  2. The solution of 1/x dy/dx=tan^(-1)x is……….

    Text Solution

    |

  3. The solution of (x+y)^2 dy/dx=1 is…………

    Text Solution

    |

  4. The solution of dy/dx=(y+sqrt(x^2-y^2))/x is

    Text Solution

    |

  5. The solution of dy/dx+y=cos x-sin x is

    Text Solution

    |

  6. The integrating factor of linear differential equation x dy/dx+2y=x^2 ...

    Text Solution

    |

  7. The solution of the differential equation dy/dx=sec x-y tan x is

    Text Solution

    |

  8. The particular solution of dy/dx=xe^(y-x) when y=0, x=0 is

    Text Solution

    |

  9. The decay rate of certain substance is directly proportional to the am...

    Text Solution

    |

  10. The order and degree of the differential equation d^3y/dx^3+(dy/dx)^4+...

    Text Solution

    |

  11. The order and degree of the differential equation [1+(dy/dx)^3]^(7/3=7...

    Text Solution

    |

  12. The order and degree of the differential equation sqrt(1+(dy/dx)^3)=(d...

    Text Solution

    |

  13. The order and degree of the differential equation of parabolas whose ...

    Text Solution

    |

  14. The differential equation of x^2+y^2=2Ax is

    Text Solution

    |

  15. The differential equation obtained by eliminating arbitrary constants ...

    Text Solution

    |

  16. The differential equation obtained by eliminating arbitrary constants ...

    Text Solution

    |

  17. The standard substitution for solving any homogeneous differential equ...

    Text Solution

    |

  18. Solution of the differential equation dy/dx+(1+cos 2y)/(1-cos 2x)=0 is...

    Text Solution

    |

  19. The solution of the differential equation sec^2y tan x dy+sec^2x tan y...

    Text Solution

    |

  20. The substitution for solving the differential equation dy/dx-(y+sqrt(x...

    Text Solution

    |