Let y = y(x) be the solution of the diff...

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

A

`e^2/4`

B

`e/4`

C

`-e/2`

D

`-e^2/2`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

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

The solution of the differential equation (x+2y^3)(dy)/(dx)=y is

Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)+y=2xlogx, (xge1) , Then y(e) is equal to

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

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

Let y=g(x) be the solution of the differential equation sinx((dy)/(dx))+y cos x=4x, If y(pi/2)=0 , then y(pi/6) is equal to

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

Solution of the differential equation dy/dx=(y^3)/(e^(2x)+y^2) , is

Solve the differential equations. (dy)/(dx)=(e^(x)+1)y

If y = y(x) is the solution of the differential equation, x dy/dx+2y=x^2 satisfying y(1) = 1, then y(1/2) is equal to