Home
Class 12
MATHS
The solution of (dy)/(dx)+1/(x^(2)+1)= 0...

The solution of `(dy)/(dx)+1/(x^(2)+1)= 0 ` is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS )|22 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.9|25 Videos
  • MODEL QUESTION PAPER -1

    PREMIERS PUBLISHERS|Exercise Part -IV|20 Videos
  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

The solution of (dy)/(dx)+p(x)y=0 is

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

The general solution of (dy)/(dx) + y/x = 0 is :

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

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

Solution of (dy)/(dx)+2x y=y is

The solution of (1+x)(dy)/(dx)+1=e^(x-y) is

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

PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -PROBLEMS FOR PRACTICE (Choose the Correct Answer)
  1. The order and degree of the differential equation y'' (y - (y')^(3))...

    Text Solution

    |

  2. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

    Text Solution

    |

  3. The order and degree of the differential equation ((dy)/(dx))^(2) = ...

    Text Solution

    |

  4. The solution of the equation (dx)/(dy) + Px = Q where P and Q are func...

    Text Solution

    |

  5. The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y +...

    Text Solution

    |

  6. If y^(2) = 4ax where a is constant then the differential equation for...

    Text Solution

    |

  7. The differential equation formed if y = (A - Bx ) e^(-2x) is :

    Text Solution

    |

  8. The differential equation that will represent the family of all circle...

    Text Solution

    |

  9. Solve (x^(2)-y) dx+(y^(2)-x)dy=0 , if it passes through origin :

    Text Solution

    |

  10. The differential equation representing the family of curve y = A sin ...

    Text Solution

    |

  11. The order and degree of the differential equation sin^(3)x (dx + dy)...

    Text Solution

    |

  12. The general solution of (dy)/(dx) + y/x = 0 is :

    Text Solution

    |

  13. If I.F of (dy)/(dx) +P(x)y = Q (x) is cos^(2)x then P (x) =

    Text Solution

    |

  14. The solution of (dy)/(dx)+1/(x^(2)+1)= 0 is

    Text Solution

    |

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

    Text Solution

    |

  16. If sin^(3)x is the integrating factor of the differential equation (dy...

    Text Solution

    |

  17. The number of arbitrary constant in the particular solution of a diff...

    Text Solution

    |

  18. The slope at any point of the curve y = f(x) is given by (dy)/(dx)= 2x...

    Text Solution

    |

  19. The degree of the differential equation ((d^(2)y)/(dx^(2)))^(2) = sqrt...

    Text Solution

    |

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

    Text Solution

    |