The solution of the differential equation [y (1+x^ -1 )+ y ] d x+(x+ x+x y) d y=0 is,
Mathematics · JEE Main · NTA Exams — Differential Equations
The solution of the differential equation \(\left[y\left(1+x^{-1}\right)+\sin y\right] d x+(x+\log x+x \cos y) d y=0\)is,
- \(x y+\log x+x y \sin y=[\)
- \(x y+y \cdot \log x+x \cdot \sin y=0\)
- \(x y-\log x+x y \cdot \sin y=0\)
- None of these
Answer
(B) x y+y x+x y=0
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