# Log jammin' DE

Calculus Level 3

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

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

Evaluate $y(e)$.


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

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