The solution of the differential equation (x y^ 4 +y ) d x-x d y=0 is,

Mathematics · JEE Main · NTA Exams — Differential Equations

1. \(\frac{x^{4}}{4}+\frac{1}{3}\left(\frac{x}{y}\right)^{3}=c\)
2. \(\frac{x^{4}}{4}+\left(\frac{x}{y}\right)^{3}=c\)
3. \(\frac{3 x^{4}}{4}+\left(\frac{x}{y}\right)^{3}=c\)
4. None of these

Answer

(D) None of these

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