The solution of the differential equation (1+e^ -x )(1+y^2) dy dx =y^2 which passes through the point (0, 1) is

MHT CET 2022 Mathematics question

The solution of the differential equation which passes through the point (0, 1) is

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

The x-side integrates as . With the printed factor the y-side gives and the curve , which is not among the options; the options (all of the form ) correspond to the intended equation

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Question ID VK-095828