The solution of the differential equation P \( y d x+\left(x+x^{2} ...

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The solution of the differential equation
P \( y d x+\left(x+x^{2} y\right) d y=0 \) is

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(a) \( \frac{1}{x y}+\log y=c \)
(b) \( \log y=c x \)
(c) \( -\frac{1}{x y}=c \)
(d) \( -\frac{1}{x y}+\log y=c \)
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