Verify that \( y=\frac{c-x}{1+c x} \) is a solution of the differen...

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Verify that \( y=\frac{c-x}{1+c x} \) is a solution of the differential equation
\( \mathrm{P} \)
\[
\left(1+x^{2}\right) \frac{d y}{d x}+\left(1+y^{2}\right)=0 .
\]
W
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