Home
Class 12
MATHS
If (dx)/dy = (xy)/(x^2 + y^2), y(1) = 1...

If `(dx)/dy = (xy)/(x^2 + y^2), y(1) = 1` and `y(x) = e` then `x =`

A

`e/sqrt(2)`

B

`1/2 sqrt(3) e `

C

`sqrt(2)e`

D

`sqrt(3) e `

Text Solution

Verified by Experts

The correct Answer is:
`D`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|2 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|445 Videos

Similar Questions

Explore conceptually related problems

If (dy)/dx = (xy)/(x^2 + y^2), y(1) = 1 and y(x) = e then x =

If (x^2+y^2)dy=xydx and y(1)=1 and y(x_o)=e , then x_o=

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

(dy)/(dx)=(x+y+1)/(2x+2y+3)

If K is constant such that xy + k = e ^(((x-1)^2)/(2)) satisfies the differential equation x . ( dy )/( dx) = (( x^2 - x-1) y+ (x-1) and y (1) =0 then find the value of K .

dy/dx=(x-y+1)/(2x-2y+3)

If y(x) is a solution of (dy)/(dx)-(xy)/(1+x)=(1)/(1+x) and y(0)=-1 , then the value of y(2) is

(dy)/(dx) + (xy)/(1-x^(2))=xsqrt(y)

If x(dy)/(dx)=x^(2)+y-2, y(1)=1 , then y(2) equals ………………..

if ( dy )/(dx) =1 + x +y +xy and y ( -1) =0 , then the value of ( y (0) +3 - e^(1//2))

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAIN-MATHEMATICS
  1. if f(x) and g(x) are continuous functions, fog is identity function, g...

    Text Solution

    |

  2. Let x = 2sintheta - sin2theta and y = 2costheta - cos2theta find (d^2...

    Text Solution

    |

  3. If (dx)/dy = (xy)/(x^2 + y^2), y(1) = 1 and y(x) = e then x =

    Text Solution

    |

  4. If minimum value of term free from xx for (x/(sintheta) + 1/(xcostheta...

    Text Solution

    |

  5. Let x= sum(n=0)^oo (-1)^n (tantheta)^(2n) and y = sum(n=0)^oo (costhe...

    Text Solution

    |

  6. int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda t...

    Text Solution

    |

  7. Let probability distribution is [[xi,:,1, 2, 3, 4, 5], [pi,:,k^2, 2k, ...

    Text Solution

    |

  8. If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c =...

    Text Solution

    |

  9. z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't ...

    Text Solution

    |

  10. Let an be the n^(th) term, of a G.P of postive terms. If Sigma(n=1)^...

    Text Solution

    |

  11. If lim(x rarr 0)x[4/x]= A, then the value of x at which f(x) = [x^2]si...

    Text Solution

    |

  12. Let one end of focal chord of parabola y^2 = 8x is (1/2, -2), then equ...

    Text Solution

    |

  13. If 10 different balls are to be placed in 4 distinct boxes at random, ...

    Text Solution

    |

  14. If p rarr (p wedge ~ q) is false. Truth value of p & q will be

    Text Solution

    |

  15. Let A = {x : |x| lt 2} and B = {x : |x - 2| ge 3} then

    Text Solution

    |

  16. Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sq...

    Text Solution

    |

  17. Let a function f: [0,5] rarr R be continuous , f(1) =3 and F be defind...

    Text Solution

    |

  18. Let both root of equation ax^2 - 2bx + 5 = 0 are α and root of equatio...

    Text Solution

    |

  19. If f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1} an...

    Text Solution

    |

  20. If the distance between the plane 23x-10y-2z+48 =0 and the plane cont...

    Text Solution

    |