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JEE Main 2022 Mathematics question

MathematicsDifferential EquationJEE Main 2022

If the solution curve y = y(x) of the differential equation − xy + , which passes through the point (1, 1) and intersects the line at the point (, ), then value of is equal to :

Answer: (3)

Solution

dy/dx = . Put y = vx, so v + x dv/dx = . Then x dv/dx = , so . By partial fractions this gives

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Question ID VK-025001