Home
Class 12
MATHS
Solve the differential equation: (1+y^2...

Solve the differential equation: `(1+y^2) + ( x - e^(tan^-1 y) ) dy/dx = 0`

A

`2xe^(tan^(-1)y)=e^(2tan^(-1)y)+k`

B

`2xe^(tan^(-1)y)=e^(tan^(-1)y)+k`

C

`xe^(tan^(-1)y)=e^(tan^(-1)y)+k`

D

`xe^(tan^(-1)y)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|5 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|17 Videos

Similar Questions

Explore conceptually related problems

Solve the differential equation: (i) (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx = 0 (ii) x dy/dx + cos^2 y = tan y dy/dx

Solve the differential equation: (1+y^2) dx/dy + x = e^(tan^(-1)y)

Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

Solve the differential equation: (1+y^2)dx=(tan^(-1)y-x)dy

Solve the differential equation: (x+y)(dy)/(dx)=1

Solve the differential equation x (1 + y^2) dx - y (1 + x^2) dy = 0

Solve the differential equation: y\ dx+(x-y^2)dy=0

Solve the differential equation (2 + x) dy = (1 + y) dx

Solve the differential equation: (dy)/(dx)+1=e^(x+y)

OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. The solution of (dy)/(dx)+2y tanx=sinx, is

    Text Solution

    |

  2. Solve the each of the following differential equation: (dy)/(dx)+y/...

    Text Solution

    |

  3. Solve the differential equation: (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx...

    Text Solution

    |

  4. Solution of x(dy)/(dx)+y=xe^(x), is

    Text Solution

    |

  5. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

    Text Solution

    |

  6. The integrating factor of the differential equation (dy)/(dx) + y = (1...

    Text Solution

    |

  7. The degree of the differential equation corresponding to the family of...

    Text Solution

    |

  8. The degree of the differential equation of all curves having normal of...

    Text Solution

    |

  9. The differential equation of the family of ellipses having major and m...

    Text Solution

    |

  10. Find the differential equation satisfying the relation sqrt(1+x^(2))+s...

    Text Solution

    |

  11. The differential eqaution of the family of curve y^(2)=4a(x+a), is

    Text Solution

    |

  12. Find the equation of the curve in which the subnormal varies as the sq...

    Text Solution

    |

  13. The solution of differential equation xdy-ydx=0 represents

    Text Solution

    |

  14. The equation of the curve whose subnormal is twice the abscissa, is

    Text Solution

    |

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

    Text Solution

    |

  16. A curve passes through the point (0,1) and the gradient at (x,y) on it...

    Text Solution

    |

  17. The equation of the curves through the point (1, 0) and whose slope...

    Text Solution

    |

  18. The differential equation for which sin^(-1) x + sin^(-1) y = c is giv...

    Text Solution

    |

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

    Text Solution

    |

  20. The order of the differential equation of family of circles touching t...

    Text Solution

    |