\acute{y} = \frac{1}{t^{2}} -\frac{y}{t} - y^{2}
To solve a Riccati type diff eq a particular solution is needed. In our case it is: y_{1} = -\frac{1}{t}
By setting
y= y_{1}+\frac{1}{u}= -\frac{1}{t}+\frac{1}{u}
and differentiating this
\acute{y}= \frac{1}{t^{2}}-\frac{u'}{u^{2}}...