Let y(x), x > 0, the solution of the differential equation \({x^2} \frac{{{d^2}y}}{{d{x^2}}} + 5x\frac{{dy}}{{dx}} + 4y = 0\), satisfying the conditions y (1) = 1 & y'(1) = 0. Then the value of e2y(e) is _______?
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