The general solution of the differential equation $dx = (2x + 3y - 4) dy$ is
- A$2x + 6y - 3 \log |4x + 6y - 5| = c$
- B$6y - 3 \log |4x + 6y - 5| = c$
- C$2x + 6y - 8 - 3 \log |4x + 6y - 5| = c$
- D$6x + 6y - 3 \log |4x + 6y - 5| = c$
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DifficultJEE MAIN 2026
View SolutionLet $y=y(x)$ be the solution of the differential equation $(x \log x) \frac{dy}{dx} + y = 2x \log x$ for $x \geq 1$. Then $y(e)$ is equal to:
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