Solve the differential equation (x^ 2 ^ 3 y-y^ 2 x ) d x+ (x^ 3 y ^ 2 y-2 y x ) d y=0 .
Mathematics · JEE Main · NTA Exams — Differential Equations
Solve the differential equation \(\left(x^{2} \sin ^{3} y-y^{2} \cos x\right) d x+\left(x^{3} \cos y \sin ^{2} y-2 y \sin x\right) d y=0\).
- \(\frac{x^{3} \sin ^{3} y}{3}=y \sin x+c\)
- \(\frac{x^{2} \sin ^{2} y}{2}=y^{2} \sin x+c\)
- \(\frac{x^{3} \sin ^{3} y}{3}=y^{2} \sin x+c\)
- None of these
Answer
(D) None of these
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