Home
Class 12
MATHS
Solve the following differential equatio...

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

A

`ye^(tan^(-1)x) = (1)/(2)e^(2tan^(-1)x) + C`

B

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

C

`ye^(tan^(-1)x) = 2e^(2 tan^(-1)x) + C`

D

`y. tan^(-1) x = (1)/(2) e^(2 tan^(-1)x) + C`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - C (Objective Type Questions) (Multiple than one options are correct)|17 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - D (Linked Comprehension Type Questions))|11 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Competition Level Questions|35 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

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

Solve the following differential equations: (x+y)^2(dy)/(dx)=1

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

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

Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

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

Solve the following differential equation: (dy)/(dx)=x^2e^x

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

Solve the following differential equation: cos^2\ x(dy)/(dx)+y=tan\ x

AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Assignment Section - B (Objective Type Questions (One option is correct))
  1. The solution of the differential equation (dy)/(dx) = (y)/(x)+ (Q((...

    Text Solution

    |

  2. The solution of differential equation x^(2)y^(2)dy = (1-xy^(3))dx is

    Text Solution

    |

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

    Text Solution

    |

  4. ydx+(x+x^(2)y)dy=0

    Text Solution

    |

  5. The family whose x and y intercepts of a tangent at any point are resp...

    Text Solution

    |

  6. The solution of the equation y' = cos (x-y) is

    Text Solution

    |

  7. Solution of y dx – x dy = x^2 ydx is:

    Text Solution

    |

  8. The equation of the curve, slope of whose tangent at any point (h, k) ...

    Text Solution

    |

  9. Which of the following is a second order differential equation

    Text Solution

    |

  10. The order of the differential equation whose general solution is y = (...

    Text Solution

    |

  11. The equation of curve in which portion of y-axis cutoff between origin...

    Text Solution

    |

  12. A curve y=f(x) passes through point P(1,1) . The normal to the curv...

    Text Solution

    |

  13. Solve the following differential equation: tany(dy)/(dx)=sin(x+y)+sin(...

    Text Solution

    |

  14. For solving dy/dx = 4x +y +1, suitable substitution is

    Text Solution

    |

  15. A continuously differentiable function phi(x) in (0,pi) satisfying y'=...

    Text Solution

    |

  16. Solve (1+e^(x/y))dx+e^(x/y)(1-x/y)dy=0

    Text Solution

    |

  17. Order of the differential equation of the family of all concentric cir...

    Text Solution

    |

  18. The number of solutions of (dy)/(dx)=(y+1)/(x-1),"Then y(1)=2 is"

    Text Solution

    |

  19. The differential sin^(-1) x + sin^(-1) y = 1, is

    Text Solution

    |

  20. The solution of ((dy)/(dx))^(2)+(2x+y)(dy)/(dx)+2xy=0, is

    Text Solution

    |