The solution of differential equation x 2 y dx – (x 3 + y 3 ) dy = 0 is

Mathematics · JEE Main · NTA Exams — Differential Equations

1. \(\frac{1}{3} \frac{x^{3}}{y^{3}}+\log y=C\)
2. \(\frac{1}{3} \frac{x^{3}}{y^{3}}-\log y=C\)
3. \(\frac{x^{3}}{y^{3}}+\log y=-C\)
4. none of these

Answer

(B) 1 3 x^ 3 y^ 3 - y=C

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