Let the solution curve y = y(x) of the differential equation (1 + e^ 2x )(dy/dx + y) = 1 pass through the point (0, /2). Then, _ x e^ x y(x) is equal to :

JEE Main 2022 Mathematics question

Let the solution curve y = y(x) of the differential equation pass through the point (0, ). Then, is equal to :

Answer: (2)

dy/dx + y = 1/(1 + ). The integrating factor is , so y . Through (0,

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Question ID VK-035142