Home
Class 12
MATHS
Show that the general solution of the di...

Show that the general solution of the differential equation `(dy)/(dx) + (y^(2) + y + 1)/(x^(2) + x + 1) = 0` is given by `( x + y + 1) = A(1 - x - y - 2xy)`, where A is parameter.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.6|19 Videos

  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

  • INTEGRALS

    NCERT BANGLISH|Exercise EXERCISE 7.12|44 Videos

Similar Questions

Explore conceptually related problems

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

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

The general solution of the differential equation (y dx - x dy)/(y ) = 0 is

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

The solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is -

The general solution of the differential equation (dy)/(dx)=(x+y+1)/(2x+2y+1) is

Find the general solution of the differential equation (dy)/(dx) = (x+1)/(2 - y), (y ne 2) .

The general solution of the differential equation (dy)/(dx)+1="cosec"(x+y) is -

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

The general solution of the differential equation (dy)/(dx)=(x+y+1)/(2x+2y+1) is -

NCERT BANGLISH-DIFFERENTIAL EQUATIONS-MISCELLANEOUS EXERCISE
  1. For each of the differential equations given below, indicate its order...

    Text Solution

    |

  2. show that if. y = sin 3x : then(d^(2)y)/(dx^(2)) + 9y = 0

    Text Solution

    |

  3. Form the differential equation representing the family of curves give...

    Text Solution

    |

  4. Prove the x^(2) - y^(2) = c (x^(2) + y^(2))^(2) is the general solutio...

    Text Solution

    |

  5. Form the differential equation of the family of circles in the first q...

    Text Solution

    |

  6. Find the general solution of the differential equation (dy)/(dx) + sqr...

    Text Solution

    |

  7. Show that the general solution of the differential equation (dy)/(dx) ...

    Text Solution

    |

  8. Find the equation of the curve passing through the point (0, (pi)/(4))...

    Text Solution

    |

  9. Find the particular solution of the differential equation (1 + e^(2x)...

    Text Solution

    |

  10. Solve the differential equation y dx = (x + y^(2))dy ( y ne 0).

    Text Solution

    |

  11. Find a particular solution of the differential equation (x - y)(dx + d...

    Text Solution

    |

  12. Solve the differential equation [(e^(-2sqrtx))/(sqrtx) - (y)/(sqrtx)](...

    Text Solution

    |

  13. Find a particular solution of the differential equation (dy)/(dx) + y...

    Text Solution

    |

  14. Find a particular solution of the differential equation (x + 1)(dy)/(d...

    Text Solution

    |

  15. The population of a village increases continuously at the rate propor...

    Text Solution

    |

  16. The general solution of the differential equation (y dx - x dy)/(y ) =...

    Text Solution

    |

  17. The general solution of a differential equation of the type (dy)/(dx)...

    Text Solution

    |

  18. The general solution of the differential equation e^(x) dy + (y e^(x) ...

    Text Solution

    |