y is already a differentiated equation. The plot of this equation with x ranging from1.001:0.001:1.01 and b =2:100 should give the mean. Say when b = 2 the mean of y is 4 .For b =3 mean of y is 9 The above value is compared with simulated value. This mean value when analytically calculated,from the above equation is varying to a large extent with the simulated value.