Home
Class 14
MATHS
The solution of (dy)/(dx) = sqrt(1 - x^(...

The solution of `(dy)/(dx) = sqrt(1 - x^(2) -y^(2) + x^(2) y^(2))` is
Where c is an arbitrary constant

A

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

B

`2 sin^(-1) y = sqrt(1 - x^(2)) + sin^(-1) x + c`

C

`2 sin^(-1) y = x sqrt(1 - x^(2)) + sin^(-1) x + c `

D

`2 sin^(-1) y = x sqrt(1 - x^(2)) + cos^(-1) x + c `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |84 Videos

  • DETERMINANTS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |55 Videos

  • DIFFERENTION

    PUNEET DOGRA|Exercise Practice Sheet|20 Videos

Similar Questions

Explore conceptually related problems

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

General solution of : (dy)/(dx)=sqrt(1-x^(2)-y^(2)+x^(2)y^(2)) is

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

(y)/(x)(dy)/(dx)=sqrt(1+x^(2)+y^(2)+x^(2)y^(2))

Consider the following statements : 1 . The general solution of (dy)/(dx) = f(x) +x is of the form y = g(x) + C , where C is an arbitrary constant . II . The degree of ((dy)/(dx))^2 = f(x) is 2 . Which of the above statements is /are correct ?

x(dy)/(dx)-y=2sqrt(y^(2)-x^(2))

The solution of the differential equation x(dy)/(dx)=y ln ((y^(2))/(x^(2))) is (where, c is an arbitrary constant)

The solution of the differential equation (dy)/(dx)=(2x-y)/(x-6y) is (where c is an arbitrary constant)

PUNEET DOGRA-DIFFERENTIAL EQUATION -PREV YEAR QUESTIONS
  1. What are the order and degree respectively of the differential equatio...

    Text Solution

    |

  2. The degree of the differential equation (dy)/(dx) - x = (y - x"" (dy)/...

    Text Solution

    |

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

    Text Solution

    |

  4. The order and degree of the differential equation of parabola having v...

    Text Solution

    |

  5. The differential equation of the family of circles passing through the...

    Text Solution

    |

  6. Consider the following statements : 1 . The general solution of (dy)...

    Text Solution

    |

  7. What is the solution of the differential equation (dx)/(dy) + (x)/(y) ...

    Text Solution

    |

  8. What is the solution of the differential equation (y dx - x dy)/(y^(2)...

    Text Solution

    |

  9. What is the solution of the differential equation sin ((dy)/(dx)) - a ...

    Text Solution

    |

  10. What is the degree of the differential equation ((d^(3) y)/(dx^(3)))^...

    Text Solution

    |

  11. What is the solution of the equation ln ((dy)/(dx)) + x = 0

    Text Solution

    |

  12. Eliminating the arbitrary constants B and C in the expression y = (2)/...

    Text Solution

    |

  13. What is the general solution of the differential equation x dy - y dx ...

    Text Solution

    |

  14. The general solution of the differential equation (x^(2) + x + 1) dy +...

    Text Solution

    |

  15. The general solution of the differential equation (x^(2) + x + 1) dy +...

    Text Solution

    |

  16. The general solution of the differential equation (x^(2) + x + 1) dy +...

    Text Solution

    |

  17. What is the solution of (dy)/(dx) + 2y = 1 satisfying y(0) = 0 ?

    Text Solution

    |

  18. The solutions of (dy)/(dx) = |x| is

    Text Solution

    |

  19. What is the number of arbitrary constant in the particular solution of...

    Text Solution

    |

  20. What is the equation of a curve passing through (0,1) and whose differ...

    Text Solution

    |