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Is possible to transform this Riccati equation into a linear differantial one? Thank you. $$ y=y_1+\frac{1}{z} $$

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What exactly do you want to do? There are tons of books addressing the Riccati equation. –  Pragabhava Oct 17 '12 at 21:35
    
Where's the derivative? –  Stefan Smith Oct 19 '12 at 0:51