#### Answer

$$ y=cx-1.$$

#### Work Step by Step

By separation of variables, we have
$$\frac{dy}{1+y}=\frac{dx}{x}$$
then by integration, we get
$$ \ln(1+y)=\ln x+\ln c=\ln(cx) .$$
So the general solution is given by $$ y=cx-1.$$

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Published by
W. H. Freeman

ISBN 10:
1464125260

ISBN 13:
978-1-46412-526-3

$$ y=cx-1.$$

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