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Let y = y(x) be the solution of the diff...

Let y = y(x) be the solution of the differential equation `((x+2)e^(((y+1)/(x+2))) + (y+1)) dx = (x+2) dy, y(1) = 1`. If the domain of y = y(x) is an open interval `(alpha, beta)`, then `|alpha + beta|` is equal to ________ .

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-B)
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