Home
Class 12
MATHS
Let y = y(x) be the solution of the diff...

Let y = y(x) be the solution of the differential equation `x^3dy + (xy – 1) dx = 0, x gt 0,Y(1/2)=3-e` . Then y(1) is equal to

A

2 – e

B

e

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

Let y(x) be the solution of the differential equation 2x^2dy + (e^y-2x)dx = 0, x>0. If y(e) = 1, then y(1) is equal to :

If y = y (x) is the solution curve of the differential equation x^2dy + (y - 1/x) dx = 0, x gt 0 , and y(1) = 1, " then " y (1/2) is equal to

If y = y (x) is the solution curve of the differential equation x^2dy + (y - 1/x) dx = 0, x gt 0 , and y(1) = 1, " then " y (1/2) is equal to

Let y(x) be the solution of the differential equation ( x log x) (dy)/(dx) + y = 2x log x, ( x gt 1). then y (e ) is equal to :

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

Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

The solution of the differential equation (x^(2)y^(2)-1)dy+2xy^(3)dx=0 is

If for x ge 0, y = (x) is the solution of the differential equation, (x+1)dy=((x+1)^&2+y-3)dx,y(2)=0 , then y(3) is equal to ….

The solution of the differential equation (2x-4y+3)(dy)/(dx)+(x-2y+1)=0 is

Let y = y(x) be the solution of the differential equation x dy/dx+y=xlog_ex,(xgt1)." If " 2y(2)=log_e4-1," then "y(e) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. 9If the shortest between the lines (x+sqrt(6))/(2)=(y-sqrt(6))/(3)=(z-...

    Text Solution

    |

  2. Let S={theta in[0,2 pi):tan(pi cos theta)+tan(pi sin theta)=0}. Then s...

    Text Solution

    |

  3. Let y = y(x) be the solution of the differential equation x^3dy + (xy ...

    Text Solution

    |

  4. The area enclosed by the curves y^2+ 4x = 4 and y – 2x = 2 is:

    Text Solution

    |

  5. Let Ω be the sample space and A ⊆ Ω be an event.Given below are two st...

    Text Solution

    |

  6. The value of sum(r=0)^22 "^(22)Cr "^23Cr is

    Text Solution

    |

  7. Let alpha be a root of the equation (a – c) x^2 + (b – a) x + (c – b) ...

    Text Solution

    |

  8. lim(trarr0)(1^(1/sin^2t)+2^(1/sin^2t)+..n^(1/sin^2t))^(sin^2t)

    Text Solution

    |

  9. The distance of the point (–1, 9,–16) from the plane 2x + 3y – z = 5 m...

    Text Solution

    |

  10. Let N denote the number that turns up then a fair die is rolled. If th...

    Text Solution

    |

  11. Let f (x)={(x^2sin(1/x),x!=0,),(0,x=0,):} then at x = 0

    Text Solution

    |

  12. Let PQR be a triangle. The point A,B and C are on the sides QR, RP and...

    Text Solution

    |

  13. For the positive integers p,q ,r,x^(pq^2)=y^(qr)=z^(p^2r) and r = pq+1...

    Text Solution

    |

  14. tan^(-1)((1+sqrt3)/(3+sqrt3))+sec^-1(sqrt((8+4sqrt3)/(6+3sqrt3))) is e...

    Text Solution

    |

  15. The equation x^2-4x+[x]+3=x[x], where [x] denotes the greatest integer...

    Text Solution

    |

  16. Let p,q in R and (1-sqrt3i)^(200)=2^(199) (p=iq),i=sqrt(-1) then p+q+q...

    Text Solution

    |

  17. If A and B are two non-zero n × n matrices such that A^2 + B = A^2 B, ...

    Text Solution

    |

  18. Let a tangent to the curve y^2 = 24x meet the curve xy =2 at points A ...

    Text Solution

    |

  19. The distance of the point (7,–3,–4) form the plane passing through the...

    Text Solution

    |

  20. The compound statement (~(P^^Q))vv((~P)^^Q)implies((~P)^^(~Q) is equiv...

    Text Solution

    |