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

The solution of the differential equation, `x^(2)dy/dxcos""(1)/(x)-ysin""(1)/(x)=-1,` where `yto-1asxtooo` is

A

`y=sin""(1)/(x)-cos""(1)/(x)`

B

`y=(x+1)/(xsin""(1)/(x))`

C

`y=sin""(1)/(x)+cos""(1)/(x)`

D

`y=(x+1)/(xcos""(1)/(x))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|13 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation x^(2)(dy)/(dx)cos((1)/(x))-y sin((1)/(x))=-1, where y rarr-1 as x rarr oo is

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

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

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

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

The solution of the differential equation (1+x)(dy)/(dx)=4+y is

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

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

The solution of the differential equation x sec y "dy"/"dx"=1 is

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Single Option Correct Type Questions)
  1. If the differential equation of the family of curve given by y=Ax+Be^(...

    Text Solution

    |

  2. passes through a curve point (1,pi/4) and at some point Its gradation ...

    Text Solution

    |

  3. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  4. A function y = f(x) satisfies the condition f'(x) sin x + f(x) cos x=...

    Text Solution

    |

  5. A curve is such that the area of the region bounded by the co-ordinate...

    Text Solution

    |

  6. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

    Text Solution

    |

  7. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |

  8. The solution of the differential equation, x^(2)dy/dxcos""(1)/(x)-ysi...

    Text Solution

    |

  9. A wet porous subtance in the open air loses its moisture at a rate pro...

    Text Solution

    |

  10. A curve C passes through origin and has the property that at each poin...

    Text Solution

    |

  11. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x...

    Text Solution

    |

  12. The curve with the property that the projection of the ordinate on ...

    Text Solution

    |

  13. The differential equation corresponding to the family of curves y=e^x ...

    Text Solution

    |

  14. The equation to the orthogonal trajectories of the system of parabolas...

    Text Solution

    |

  15. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

    Text Solution

    |

  16. The substituion y=z^(alpha) transforms the differential equation (x^(2...

    Text Solution

    |

  17. A curve passing through (2,3) and satisfying the differential equat...

    Text Solution

    |

  18. Which one of the following curves represents the solution of the initi...

    Text Solution

    |