MHT CET 2024 Mathematics question

MathematicsDifferential EquationMHT CET 2024

The general solution of is

Answer: (1)

Solution

Put , so . Separate variables: \frac{v-1}{v}\,dv=2\,dx\Rightarrow\left(1-\frac1v\right)dv=2\,dx. Integrate: , i.e.

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Question ID VK-095695