The Explanation:tion of the differential equation (x 3 – 3xy 2 ) dx = (y 3 – 3x 2 y) dy is

Mathematics · JEE Advanced · NTA Exams — Differential Equations

1. x² – y² = c (x² + y²)²
2. \(y^{2}-\frac{x^{2}}{2}=c\left(x^{2}+y^{2}\right)^{2}\)
   
3. (x² – y²)² = c (x² + y²)
4. none of these

Answer

(A) x 2 – y 2 = c (x 2 + y 2 ) 2

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