If y=y(x) satisfies ( 2+ x 1+y ) dy dx =- x such that y(0)=2, then y ( 2 ) is equal to

MHT CET 2025 Mathematics question

If satisfies such that , then is equal to

Answer: (D)

Separate the variables: . Integrate: , so . Using : . At , $

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Question ID VK-100771