If the solution curve of the differential equation (( ^ -1 y) - x)dy = (1 + y^ 2 )dx passes through the point (1, 0), then the abscissa of the point on the curve whose ordinate is tan(1), is-

JEE Main 2022 Mathematics question

If the solution curve of the differential equation passes through the point (1, 0), then the abscissa of the point on the curve whose ordinate is tan(1), is-

(1)2e
(2)2/eCorrect
(3)2
(4)1/e

Answer: (2)

Solution

dx/dy + x/(1 + ). The integrating factor is . So x ln t − t)

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Question ID VK-034515