Home
Class 12
MATHS
The solution of dy/dx=(y+sqrt(x^2-y^2))/...

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

A

`sin^-1(y/x)=2log|x|+c`

B

`sin^-1(y/x)=log x+c`

C

`sin(y/x)=log|x|+c`

D

`sin^-1(y/x)=log|x|+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 dy/dx = (x^2+y^2+1)/(2xy) satisfying y(1)=0 is given by

The substitution for solving the differential equation dy/dx-(y+sqrt(x^2-y^2))/x=0 is

Verify that the function y=x sin x is a solution of the differential equation of x dy/dx=y+x sqrt(x^2-y^2)

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

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

Solve the following differential equations.(10) dy/dx=(y+sqrt(x^2-y^2))/x

The solution of dy/dx=cos(x+y)+sin(x+y) , is given by

The solution of (dy)/(dx)=((x)/(y))^(-1//3) is

CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. The solution of 1/x dy/dx=tan^(-1)x is……….

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If the equation dy/dx=(x^3+3x^2y+y^n)/(xy^2) is a homogeneous differen...

    Text Solution

    |