If dy/dx + 2^ x−y (2^y − 1)/(2^x − 1) = 0, x, y > 0, y(1) = 1, then y(2) is equal to :

JEE Main 2022 Mathematics question

If dy/dx + − 1)/ − 1) = 0, x, y > 0, y(1) = 1, then y(2) is equal to :

Answer: (4)

dy/dx = − − 1)/ − 1)), so dy/ − dx/ − 1). Integrating, ln| − 1|/ln 2 = −ln| − 1|/ln

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Question ID VK-034606