Let \( y = y(x) \) be the solution of the differential equation \( \dfrac{dy}{dx} = (y+1)\left((y+1)e^{x^{2}/2} - x\right) \), \( 0 < x < 2.1 \), with \( y(2) = 0 \). Then the value of \( \dfrac{dy}{dx} \) at \( x = 1 \) is equal to:
\( \dfrac{e^{5/2}}{(1 + e^{2})^{2}} \)
\( \dfrac{5e^{1/2}}{(e^{2} + 1)^{2}} \)
\( \dfrac{-e^{3/2}}{(e^{2} + 1)^{2}} \)
\(- \dfrac{2e^{2}}{(1 + e^{2})^{2}} \)
