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

MHT CET 2023 Mathematics question

The solution of the differential equation at x = 0, y = 1 is

Answer: (D)

Separate variables: . Note that , so the right side integrates exactly. Therefore $(1+1y)dy=-x+C⇒

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Question ID VK-098072