Home
Class 12
MATHS
Let y(x) is the solution of differential...

Let `y(x)` is the solution of differential equation `x(dy)/(dx)+y=x log_ex` and `2y(2)=log_e 4-1`. Then `y(e)` is equal to (A) `e^2 /2` (B) `e/2` (C) `e/4` (D) `e^2/4`

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

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

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

If y=f(x) is the solution of differential equation , e^y((dy)/(dx)-2)=e^(3x) such that f(0)=0 , then f(2) is equal to :

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

solve the differential equation (dy)/(dx)=e^(x+y)+x^2e^y

Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e^(x) and f(0)=0 then f(1) is equal to

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

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

Solve the following differential equations. (dy)/(dx )=e^(x-y)+x^2e^(-y)

The integrating factor of the differential equation (dy)/(dx)(x(log)_e x)+y=2(log)_e x is given by

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. In the expansion of (2^(1/3) +1/(2(3)^(1/3)))^10 then the ratio of 5th...

    Text Solution

    |

  2. The area bounded by the region between curves y=x^2 +2, x=0, x=3, y=x+...

    Text Solution

    |

  3. Let y(x) is the solution of differential equation x(dy)/(dx)+y=x logex...

    Text Solution

    |

  4. f(x)=min(sinx, cosx),x in (-pi,pi) the values of x where f(x) is non d...

    Text Solution

    |

  5. A(9,6), B(4,-4) lie on the parabola such that area of /\ABC is maximum...

    Text Solution

    |

  6. If two circles with cenre (1,1) and radius 1 and circle with centre (9...

    Text Solution

    |

  7. Find minimum and maximum value of 3cosx+5sin(x-pi/6)

    Text Solution

    |

  8. For xgt1, " if " (2x)^(2y)=4e^(2x-2y)", then " (1+loge2x)^2(dy)//(dx) ...

    Text Solution

    |

  9. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

    Text Solution

    |

  10. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alpha in RR the...

    Text Solution

    |

  11. If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is...

    Text Solution

    |

  12. Let fk=(1+2+3+?+k)/k Also is f1^2+f2^2+f3^2+?f10^2=5/12N, then the val...

    Text Solution

    |

  13. Let a parabola be y=12-x^2. Find the maximum area of rectangle whose b...

    Text Solution

    |

  14. A line is perpendicular to the line 2x-3y+5=0 and passes through the p...

    Text Solution

    |

  15. Let vecaxx(vecbxxvecc)=vecb/2 and vecb, vecc are non parallel unit vec...

    Text Solution

    |

  16. The statement ~(~prarrq) is equivalent to (A) pvv~q ...

    Text Solution

    |

  17. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  18. If (3/4)^3+(1 1/2)^3 +(2 1/4)^3 +? upto 15 terms =225k, then k is equa...

    Text Solution

    |

  19. Mean and variance of five observations are 4 and 5.2 respectively. If ...

    Text Solution

    |

  20. lim(xrarr1^(-)) (sqrtpi-sqrt(2sin^-1x))/sqrt(1-x)= (A) sqrt(2...

    Text Solution

    |