Let x = x(y) be the solution of the differential equation 2y e^ x/y^ 2 dx + (y^ 2 - 4x e^ x/y^ 2 )dy = 0 such that x(1) = 0. Then, x(e) is equal to -

JEE Main 2022 Mathematics question

Let x = x(y) be the solution of the differential equation 2y such that x(1) = 0. Then, x(e) is equal to -

Answer: (4)

Rearranging, dx − 4x , i.e. dx − 2xy = −dy/y. Since dx − 2xy , this gives

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Question ID VK-034875