If x = x(y) is the solution of the differential equation $y{{dx} \over {dy}} = 2x + {y^3}(y + 1){e^y},\,x(1) = 0$; then x(e) is equal to :

Question

If x = x(y) is the solution of the differential equation

$y{{dx} \over {dy}} = 2x + {y^3}(y + 1){e^y},\,x(1) = 0$; then x(e) is equal to :

${e^3}({e^e} - 1)$

${e^e}({e^3} - 1)$

${e^2}({e^e} + 1)$

${e^e}({e^2} - 1)$

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