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Let y = y(x) be the solution of the differential equation dy dx = 2x(x + y) 3 – x(x + y)–1, y(0) = 1. Then 2 1 1 y 2 2 ⎛ ⎞ ⎛ ⎞ + ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ ⎝ ⎠ ⎝ ⎠ equals :

1. 2 1 e +
2. 3 3 e −
3. 1 2 e −
4. 4 4 e +

Correct answer: 1 2 e −

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