Home
Class 12
MATHS
Solve sqrt(1+x^(2)) sqrt(1+y^(2))dx+xy ...

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

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(a)|15 Videos

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(b)|17 Videos

  • DEFINITE INTEGRALS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Question|3 Videos

  • ELLIPSE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 4(B)|15 Videos

Similar Questions

Explore conceptually related problems

Solve the following differential equations. (i) Solve sqrt(1-x^(2)) dy + sqrt(1-y^(2))dx = 0 (ii) Solve x+y (dy)/(dx) = 0 (iii) Solve (dy)/(dx) = (2y)/(x) (iv) Solve (dy)/(dx) + x^(2) = x^(2)e^(3y)

Find the general solution of sqrt(1-x^(2))dy +sqrt(1-y^(2))dx=0 .

The solution of sqrt(1 - x^(2)) dx + sqrt(1 - y^(2)) dy = 0 is

The solution of sqrt(1 + x^(2)) dx + sqrt(1 + y^(2)) dy = 0 is

Solve the following differential equations. (i) (dy)/(dx) =(1+y^(2))/(1+x^(2)) (ii) (dy)/(dx) = (sqrt(1-y^(2)))/(sqrt(1-x^(2))) (iii) (dy)/(dx) = 2y tan hx (iv) sqrt(1+x^(2))dx + sqrt(1+y^(2))dy = 0 (v) (dy)/(dy) = e^(x-y)+x^(2)e^(-y)

If sqrt(1 - x^(2)) + sqrt(1 - y^(2)) = a(x - y) , then prove that (dy)/(dx) = sqrt((1-y^(2))/(1-x^(2))) .

If sqrt(1+ x ^(2)) + sqrt(1 + y ^(2)) =a ( x -y) then (dy)/(dx) =

If sqrt(1- x ^(2)) + sqrt(1- y ^(2) ) = a (x -y) then (dy)/(dx)=

Solve the following differential equations. sqrt(1+x^(2))dx +sqrt(1+y^(2))dy=0

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIAL EQUATIONS -EXERCISE- 8(e)
  1. Solve sqrt(1+x^(2)) sqrt(1+y^(2))dx+xy dy=0

    Text Solution

    |

  2. Find the I.F. of the following differential equations by transforming ...

    Text Solution

    |

  3. Find the I.F. of the following differential equations by transforming ...

    Text Solution

    |

  4. Solve the following differential equations. (dy)/(dx)+y tan x=cos^(3...

    Text Solution

    |

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

    Text Solution

    |

  6. Solve the following differential equations. (dy)/(dx)-y tan x =e^(x)...

    Text Solution

    |

  7. Solve the following differential equations. x (dy)/(dx) + 2y=log x

    Text Solution

    |

  8. Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=e^(t...

    Text Solution

    |

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

    Text Solution

    |

  10. Solve the following differential equations. (dy)/(dx)+(4x)/(1+x^(2))y...

    Text Solution

    |

  11. Solve the following differential equations. x(dy)/(dx)+y=(1+x)e^(x)

    Text Solution

    |

  12. Solve the following differential equations. (dy)/(dx)+(3x^(2))/(1+x...

    Text Solution

    |

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

    Text Solution

    |

  14. Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=ta...

    Text Solution

    |

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

    Text Solution

    |

  16. Solve the following differential equations. cos x. (dy)/(dx)+y sin x...

    Text Solution

    |

  17. Solve the following differential equations. sec x. dy= (y + sin x)dx

    Text Solution

    |

  18. Solve the following differential equations. x log x. (dy)/(dx)+y=2 l...

    Text Solution

    |

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

    Text Solution

    |

  20. Solve the following differential equations. x(x-1)(dy)/(dx)-y=x^(3)(...

    Text Solution

    |

  21. Solve the following differential equations. (x+2y^(3))(dy)/(dx)=y

    Text Solution

    |