The solution of the equation dy dx = 1 x+y+1 is

MHT CET 2025 Mathematics question

The solution of the equation is

Answer: (C)

Put . Then , so . Separating variables, \dfrac{v}{v+1}\,dv=dx\Rightarrow\left(1-\dfrac1{v+1}\right)dv=dx. Integrating, . Substituting :

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Question ID VK-103333