The general solution of the differential equation [2 x y -x] dy + y dx = 0 is

Mathematics · JEE Main · NTA Exams — Differential Equations

1. log x + \(\sqrt{\frac{\mathrm{y}}{\mathrm{x}}}\) = c
2. log y –\(\sqrt{\frac{\mathrm{x}}{\mathrm{y}}}\) = c
3. log y + \(\sqrt{\frac{\mathrm{x}}{\mathrm{y}}}\) = c
4. none of these

Answer

(C) log y + x y = c

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