Log jammin' DE

Calculus Level 3

y=ln(xyy)\large y' = \ln(xy' - y)

Given the differential equation above, y(1)=1y(1) = -1, yy is twice differentiable, and y(x)0.y''(x) \ne 0.

Evaluate y(e)y(e).


Notation: e2.7182e \approx 2.7182 denotes the Euler's number.

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