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

MHT CET 2022 Mathematics question

If y(x) and , , then is equal to

Answer: (B)

Separate the variables: . Integrate: , i.e. . At , : . At :

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Question ID VK-094198