The form of Riccati is $\displaystyle y' = P(x)y^{2} + Q(x)y + R(x)$
the book says that $\displaystyle y' = \frac{1}{x^{2}}y^{2} - \frac{1}{x}y + 1$ is a Riccati equation.
So how does the constant 1 qualify as a R(x) term?
The form of Riccati is $\displaystyle y' = P(x)y^{2} + Q(x)y + R(x)$
the book says that $\displaystyle y' = \frac{1}{x^{2}}y^{2} - \frac{1}{x}y + 1$ is a Riccati equation.
So how does the constant 1 qualify as a R(x) term?