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

Let y=y(x) be the solution of the differential equation,x((dy)/(dx))+y=x log_(e)x,(x>1) if 2y(2)=log_(e)4-1, then y(e) is equal to: (a)-((e)/(2))(b)-((e^(2))/(2))(c)(e)/(4)(d)(e^(2))/(4)

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

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 :

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 :

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

Let y(x) be the solution of the differential equaiton : (x log x ) (dy)/(dx) +y=2x log x, (x ge 1) Then y(e) is equal to :

Solution of the differential equation (x-y)(1-(dy)/(dx))=e^(x) is

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