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

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

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

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

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 :

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

IF y = y (x) is the solution of the differential equation, x (dy)/(dx) = y (log_(e) y - log_(e) x + 1) , when y(1) = 2, then y(2) is equal to _______