Home
Class 12
MATHS
Find the general solution of the differ...

Find the general solution of the differential equation `(dy)/(dx)=(1+y^2)/(1+x^2)`.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PROBABILITY DISTIBUTIONS|39 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise BINOMIAL DISTRIBUTION|20 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise APPLICATION OF DEFINITE INTEGRATION |33 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the differential equation (dy)/(dx)-y=cos x

Find the general solution of the differential equations (dy)/(dx)=sin^(-1)x

Find the general solution of the differential equations (dy)/(dx)+y=1(y!=1)

Find the general solution of the differential equations (dy)/(dx)=(1+x^(2))(1+y^(2))

Find the general solution of the differential equation (dy)/(dx) =sin^(-1)x.

Find the general solution of the differential equation (dy)/(dx) = log(x+1).

Find the general solution of the differential equations: (x+y)(dx)/(dy)=1

The general solution of the differential equation (dy)/(dx)=(x^(2))/(y^(2)) is

General solution of the differential equation (dy)/(dx)=1+x + y is

Find the general solution of the differential equation x(dy)/(dx)+2y=x^(2)(x!=0)

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-DIFFERENTIAL EQUATIONS
  1. The solution of (dy)/(dx) + (x^(2))/(y^(2)) = 0 is

    Text Solution

    |

  2. Find the differential equation of family of lines making equal interce...

    Text Solution

    |

  3. Find the general solution of the differential equation (dy)/(dx)=(1+y...

    Text Solution

    |

  4. Form the differential equation of family of standard circle

    Text Solution

    |

  5. The order and degree of the differential equation e^((dy)/(dx))+(dy)/(...

    Text Solution

    |

  6. y= (c(1+c(2)x))e^(x)

    Text Solution

    |

  7. Solve the differential equation : sec^(2)x tan y dx + sec^(2) y tan...

    Text Solution

    |

  8. solve the differential equation (dy)/(dx)=e^(x+y)+x^2e^y

    Text Solution

    |

  9. Find the differential equation of family of all ellipse whose major ax...

    Text Solution

    |

  10. Solve the differential equation (dy)/(dx)+y = e^(-x)

    Text Solution

    |

  11. Solve the differential equation x (dy)/(dx) + 2y = x ^(2) log x

    Text Solution

    |

  12. Solve (dy)/(dx) = (x+y+1)/(x+y-1) when x = (2)/(3), y = (1)/(3)

    Text Solution

    |

  13. Solve the differential equation x dx + 2 ydy =0

    Text Solution

    |

  14. (x^(2)-yx^(2))dy+(y^(2)+xy^(2))dx=0

    Text Solution

    |

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

    Text Solution

    |

  16. Find the differential equation by eliminating arbitrary constants from...

    Text Solution

    |

  17. Find the differential equation by eliminating arbitrary constants from...

    Text Solution

    |

  18. y = log x + c is a solution of the differential equation x(d^(2)y)/(...

    Text Solution

    |

  19. Solve : (dy)/(dx) + (2)/(x) y = x ^(2)

    Text Solution

    |

  20. Find particular solutions of the following differential equations : ...

    Text Solution

    |