Home
Class 12
MATHS
Consider the differential equation, y^(2...

Consider the differential equation, `y^(2)dx+(x-1/y)dy=0.` If value of y is 1 when x = 1, then the value of x for which y = 2, is

A

`3/2 - sqrt(e ) `

B

` (1)/(2) + (1)/( sqrt(e ))`

C

` 5/2 +1/( sqrt(e ))`

D

3/2 -(1)/( sqrt(e ))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|11 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

Similar Questions

Explore conceptually related problems

Consider the differential equation y^2dx+(x-1/y)dy=0 if y(1)=1 then x is

Solve the differential equation: (1+y+x^2y)dx+(x+x^3)dy=0

Consider the differential equation ydx-(x+y^(2))dy=0 . If for y=1, x takes value 1, then value of x when y = 4, is

Solve the differential equation ( x + y) dy + (x - y) dx = 0 ; given that y = 1 when x = 1.

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

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

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

Solve the differential equation x^2dy+y(x+y)dx=0, given that y=1\ w h e n\ x=1.

Solve the differential equation x^2dy+y(x+y)dx=0, given that y=1\ w h e n\ x=1.

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

VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE MAIN (ARCHIVE )
  1. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

    Text Solution

    |

  2. Let p (x) be a polynomial with real coefficient and p (x)=x^(2)+2x+1. ...

    Text Solution

    |

  3. If y = y(x) is the solution of the differential equation, x dy/dx+2y=x...

    Text Solution

    |

  4. Let f : [0, 1]toR be such that f(xy)=f(x)xxf(y) for all x, y in [0,1]"...

    Text Solution

    |

  5. If dy/dx+3/cos^2xy=1/cos^2x,x in((-pi)/3,pi/3)and y(pi/4)=4/3," then "...

    Text Solution

    |

  6. Let f be differentiable function such that f'(x)=7-3/4(f(x))/x,(xg...

    Text Solution

    |

  7. The curve amongst the family of curves, represented by the differenti...

    Text Solution

    |

  8. The solution of the differential equation dy/dx=(x-y)^2," when " y(1)=...

    Text Solution

    |

  9. If y(x) is the solution of the differential equation ( dy )/( dx...

    Text Solution

    |

  10. If a curve passes through the point (1, -2) and has slope of the tange...

    Text Solution

    |

  11. Let y = y(x) be the solution of the differential equation x dy/dx+y=xl...

    Text Solution

    |

  12. Let y=y(x)be the solution of the differential equation, (x^(2)+1)^(2)...

    Text Solution

    |

  13. Given that the slope of the tangent to a curve y = f(x) at an...

    Text Solution

    |

  14. If cos x (dy)/(dx) - y sin x = 6x, (0 lt x lt (pi)/(2)) and y ((pi)/(3...

    Text Solution

    |

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

    Text Solution

    |

  16. Let y=y(x) be the solution of the differential equation, dy/dx+y tan...

    Text Solution

    |

  17. If y=y(x) is the solution of the differential equation (dy)/(dx) =(tan...

    Text Solution

    |

  18. Consider the differential equation, y^(2)dx+(x-1/y)dy=0. If value of y...

    Text Solution

    |

  19. The general solution of the differential equation (y^(2)-x^(3))dx-xyd...

    Text Solution

    |

  20. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |