If x3dy + xy dx = x2dy + 2y dx; y(2) = e and x > 1, then y(4) is equal to :

Question

If x³dy + xy dx = x²dy + 2y dx; y(2) = e and
x > 1, then y(4) is equal to :

${{\sqrt e } \over 2}$

${1 \over 2} + \sqrt e $

${3 \over 2} + \sqrt e $

${3 \over 2}\sqrt e $

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