Home
Class 12
MATHS
Solve the following differential equatio...

Solve the following differential equation: `x\ sqrt(1-y^2)dx+y\ sqrt(1-x)\ dy=0`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(1-x^2)+sqrt(1-y^2)=c`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|4 Videos

  • DIFFERENTIAL EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise TWO MARK QUESTIONS|6 Videos

  • CONTINUITY AND DIFFERENTIABILTY

    CBSE COMPLEMENTARY MATERIAL|Exercise 4 Marks Questions|36 Videos

  • INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|20 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of each of the following differential equations: x sqrt(1+y^(2))dx +y sqrt(1+x^(2))dy =0

Write order and degree (if defined) of each of the following differential equations. sqrt(1-y^(2))dx+sqrt(1-x^(2))dy=0

Find the general solution of each of the following differential equations: e^(x)sqrt(1-y^(2))dx +(y)/(x)dy=0

Solve the following differential equations: [xsqrt(x^2+y^2)-y^2]dx + x y \ dy=0

Solve the following differential equation: y sqrt(1+x^(2))+x sqrt(1+y^(2))(dy)/(dx)=0

Solve the following differential equations (dy)/(dx)=sqrt(4-y^(2))

Solve the following differential equations (dy)/(dx)=sqrt((1-y^2)/(1-x^2)) .

Solve the following differential equations: (x+y+1)(dy)/(dx)=1

Solve the following differential equation: (dy)/(dx)+1=e^(x+y)

Solve the following differential equation: (dy)/(dx)=1-x+y-xy

CBSE COMPLEMENTARY MATERIAL-DIFFERENTIAL EQUATIONS-FOUR MARK QUESTIONS
  1. Solve each of the following differential equations y-x(dy)/(dx)=2(y^...

    Text Solution

    |

  2. Solve each of the following differential equations cos y "" dx +(1+2...

    Text Solution

    |

  3. Solve the following differential equation: x\ sqrt(1-y^2)dx+y\ sqrt(1-...

    Text Solution

    |

  4. Solve each of the following differential equations sqrt((1-x^2)(1-y^...

    Text Solution

    |

  5. Solve each of the following differential equations (xy^2+x)dx+(yx^2+...

    Text Solution

    |

  6. Solve each of the following differential equations (dy)/(dx)-y sin^3...

    Text Solution

    |

  7. Solve each of the following differential equations tan x tan y dx + ...

    Text Solution

    |

  8. Solve each of the following differential equations (dy)/(dx)=x-1+xy-...

    Text Solution

    |

  9. Solve the following differential equations x^2y dx -(x^3+y^3)dy=0.

    Text Solution

    |

  10. Solve the following differential equation: (x^2dy)/(dx)=x^2+x y+y^2

    Text Solution

    |

  11. Solve the following differential equations (x^2-y^2)dx+2xy""dy=0, y(...

    Text Solution

    |

  12. Solve the following differential equations (y sin"" (x)/(y))dx= (x s...

    Text Solution

    |

  13. Solve the following differential equations (dy)/(dx)=(y)/(x)+tan (y/...

    Text Solution

    |

  14. Solve the differential equation x(dy)/(dx)=y(log y - log x +1).

    Text Solution

    |

  15. Solve the following differential equation: (dy)/(dx)=e^(x+y)+x^2\ e^y

    Text Solution

    |

  16. Solve the following differential equations (dy)/(dx)=sqrt((1-y^2)/(1...

    Text Solution

    |

  17. Solve the following differential equation: (3"x y"+"y"^2)"dx"+("x"^...

    Text Solution

    |

  18. Form the differential equation of the family of circles touching th...

    Text Solution

    |

  19. Form the differential equation of the family of parabolas having ve...

    Text Solution

    |

  20. From the differential equation of the family of all parabolas having v...

    Text Solution

    |