\left\{ \begin{array} { l } { \frac { - u } { \sqrt { 1 - u ^ { 2 } } } d u = \sqrt { 1 } } \end{array} \right.
Solve for u, d
u=-\frac{\sqrt{2\left(\sqrt{4d^{2}+1}-1\right)}}{2|d|}\text{, }d<0
u=\frac{\sqrt{2\left(\sqrt{4d^{2}+1}-1\right)}}{2|d|}\text{, }d<0
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