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Let y = y(x) be the solution curve of the differential equation x (x 2 + e x )dy + (e x (x – 2) y – x 3 )dx = 0, x > 0, passing through the point (1, 0). Then y

1. is equal to
2. 2 e 2 2 +
3. 2 e 4 4 −
4. 2 e 2 2 − (4) 2 e 4 4 +

Correct answer: 2 e 2 2 − (4) 2 e 4 4 +

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