Home
Class 12
MATHS
The solution of the differential equatio...

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

A

`y(1+x^(2)) = c +tan^(-1) x`

B

`y/(1+x^(2)) = c + tan^(-1) x`

C

`y log (1+x^(2)) = c + tan^(-1) x`

D

`y(1+x^(2)) = c+ sin^(-1) x`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

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

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

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

The solution of the differential equation : y dx +(x+x^2y)dy=0 is :

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

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

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

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The general solution of the differential equation (e^(x)+1)y dy = (y+1...

    Text Solution

    |

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

    Text Solution

    |

  3. The solution of the differential equationdy/dx + (2x)/(1+x^(2)) y = 1/...

    Text Solution

    |

  4. The solution of the differential equation cosy. cos x dx + sin x . Sin...

    Text Solution

    |

  5. The degree of the differential equation (d^(2)y)/(dx^(2)) + [1+ (dy/dx...

    Text Solution

    |

  6. 19. The elimination of A and B from the equation y^(2) = Ax+B gives di...

    Text Solution

    |

  7. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

    Text Solution

    |

  8. If m and n are order and degree of the differential equation ((d^(2)y)...

    Text Solution

    |

  9. The solution of dy/dx = 2^(y-x) is

    Text Solution

    |

  10. The differential equation obtained by eliminating A and B from y = A c...

    Text Solution

    |

  11. The order and degree of the differential equation x (d^(2)y)/(dx^(2)) ...

    Text Solution

    |

  12. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

    Text Solution

    |

  13. Which of the following functions is a solution of the differential equ...

    Text Solution

    |

  14. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

    Text Solution

    |

  15. The differential equation for which sin^(-1)x+sin^(-1)y=C is given by

    Text Solution

    |

  16. The general solution of the differential equation dy/dx + (1+ cos 2y)/...

    Text Solution

    |

  17. The degree of the differential Equation (1+((dy)/(dx))^(2))^(3//4)=(...

    Text Solution

    |

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

    Text Solution

    |

  19. The general solution of the differential equation (2x - y + 1) dx + (2...

    Text Solution

    |

  20. The solution of the differential equation e^(-x)(y+1)dy+(cos^(2)x -sin...

    Text Solution

    |