The general solution of y^ 2 d x+ (x^ 2 -x y+y^ 2 ) d y=0 is,

Mathematics · JEE Main · NTA Exams — Differential Equations

1. \(\tan ^{-1}\left(\frac{x}{y}\right)+\log y+c=0\)
2. \(2 \tan ^{-1}\left(\frac{x}{y}\right)+\log x+c=0\)
3. \(\log \left[y+\sqrt{x^{2}+y^{2}}\right]+\log y+c=0\)
4. \(\sin ^{-1}\left(\frac{x}{y}\right)+\log y+c=0\)

Answer

(A) ^ -1 ( x y )+ y+c=0

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