Home
Class 12
MATHS
The differential equation for which sin^...

The differential equation for which `sin^(-1) x + sin^(-1) y = c` is given by

A

`sqrt(1-x^(2))dy+sqrt(1-y^(2))dx=0`

B

`sqrt(1-x^(2))dx+sqrt(1-y^(2))dy=0`

C

`sqrt(1-x^(2))dx-sqrt(1-y^(2))dy=0`

D

`sqrt(1-x^(2))dy-sqrt(1-y^(2))dx=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|5 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Exercise|26 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    OBJECTIVE RD SHARMA|Exercise Exercise|17 Videos

Similar Questions

Explore conceptually related problems

The differential equation for y=a sin (5x+c) is

The differential equation of the curve y = sin x is :

The differential equation for which y=a cos x+b sin x is a solution is

The differential equation for which y=a cos x+b sin x is a solution, is

The differential equation for the family of curves y=c sin x can be given by

The differential sin^(-1) x + sin^(-1) y = 1 , is

The solution of the differential equation y sin (x//y) dx= (x sin (x//y)-y) dy satisfying y(pi//4)=1 is

Find the differential equation for which the following value of y is the general solution: y=(c_1 cos x + c_2 sin x) e^(-x) + c_3 e^x

Solve the differential equation sin^-1((dy)/(dx))=x+y

Solve the differential equation (dy) / (dx) = (1) / (y + sin y) .

OBJECTIVE RD SHARMA-DIFFERENTIAL EQUATIONS-Exercise
  1. The solution of the differential equation (dy)/(dx)+(y)/(x)=x^(2), is

    Text Solution

    |

  2. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

    Text Solution

    |

  3. Solution of x(dy)/(dx)+y=xe^(x), is

    Text Solution

    |

  4. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

    Text Solution

    |

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

    Text Solution

    |

  6. The degree of the differential equation corresponding to the family of...

    Text Solution

    |

  7. The degree of the differential equation of all curves having normal of...

    Text Solution

    |

  8. The differential equation of the family of ellipses having major and m...

    Text Solution

    |

  9. The degree of the differential equation satisfying the relation sqrt(1...

    Text Solution

    |

  10. The differential eqaution of the family of curve y^(2)=4a(x+1), is

    Text Solution

    |

  11. Find the equation of the curve in which the subnormal varies as the ...

    Text Solution

    |

  12. Solution of the differential equation xdy-ydx=0 represents

    Text Solution

    |

  13. The equation of the curve whose subnormal is twice the abscissa, is

    Text Solution

    |

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

    Text Solution

    |

  15. A curve passes through the point (0,1) and the gradient at (x,y) on it...

    Text Solution

    |

  16. The equation of the curve through the point (1,0), whose slope is (y-...

    Text Solution

    |

  17. The differential equation for which sin^(-1) x + sin^(-1) y = c is giv...

    Text Solution

    |

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

    Text Solution

    |

  19. The order of the differential equation of family of circles touching t...

    Text Solution

    |

  20. The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (...

    Text Solution

    |