Let x = x ( y ) be the solution of the differential equation 2( y + 2)log e ( y + 2) dx + ( x + 4–2log e ( y + 2)) dy = 0, y –1 with x ( e 4 –2) = 1. Then x ( e 9 –2) is equal to [JEE Main 2023, 15 Apr (Shift 1)]

Question

Let x = x ( y ) be the solution of the differential equation 2( y + 2)log e ( y + 2) dx + ( x + 4–2log e ( y + 2)) dy = 0, y > –1 with x ( e 4 –2) = 1. Then x ( e 9 –2) is equal to [JEE Main 2023, 15 Apr (Shift 1)]

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Let x = x ( y ) be the solution of the differential equation 2( y + 2)log e ( y + 2) dx + ( x + 4–2log e ( y + 2)) dy = …

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