Home
Class 12
MATHS
Find the particular solution of the di...

Find the particular solution of the
differential equation
`(1+x^2)(dy)/(dx)+2xy=1/(1+x^2)`,when `y=0`,
`x=1`.

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    V PUBLICATION|Exercise QUESTION BANK|136 Videos

  • INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|396 Videos

Similar Questions

Explore conceptually related problems

Find the particular solution of the differential equation (dy)/(dx)=-4 x y^2 given that y=1 , when x=0

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

Find the particular solution of the differential equation log ((dy)/(dx))=3 x+4 y given that y=0 when x=0

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

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

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

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

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

The general solution of the differential equation (x + y + 3)(dy)/(dx) = 1 is

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

V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Solve the following differential equations (x + 3y^2)(dy)/(dx) = y (y ...

    Text Solution

    |

  2. For each of the following differential equations, find a particular so...

    Text Solution

    |

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

    Text Solution

    |

  4. For each of the following differential equations, find a particular so...

    Text Solution

    |

  5. Find the equation of a curve passing through the origin given that the...

    Text Solution

    |

  6. Find the equation of a curve passing through the point (0,2) given tha...

    Text Solution

    |

  7. The Integrating Factor of the differential equation x (dy)/(dx)-y=2 x^...

    Text Solution

    |

  8. The intergrating factor of the differential equation (1 -y^2)(dx)/(dy...

    Text Solution

    |

  9. Verify that the function y=c1 e^(a x) cos b x+c2 e^(a x) sin b x, wher...

    Text Solution

    |

  10. Form the differential equation of the family of circles in the second ...

    Text Solution

    |

  11. Find the particular solution of the differential equation log ((dy)/(d...

    Text Solution

    |

  12. Solve the differential equation (x d y-y d x) y sin (y/x)=(y d x+x d y...

    Text Solution

    |

  13. Solve the differential equation (tan ^-1 y-x) d y=(1+y^2) d x

    Text Solution

    |

  14. For each of the differential equations given below, indicate its order...

    Text Solution

    |

  15. Verify that the given fuction (implicit or explicit) is a solution of ...

    Text Solution

    |

  16. Form the differential equation representing the family of curves given...

    Text Solution

    |

  17. Prove that x^2 - y^2 = c(x^2 + y^2)^2 is the general solution of the d...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the general solution of the differential equation. (dy)/(dx)+sqrt...

    Text Solution

    |

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

    Text Solution

    |