A particular solution of 3e^x y ,dx+(1-e^x) ^2y ,dy=0 with y(1)= 4 is

MHT CET 2025 Mathematics question

A particular solution of with is

Answer: (D)

Separate variables: (dividing by ). Integrate: , so . Use : $4=1=C(1-⇒

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Question ID VK-101825