\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) -{\frac { \left( y \left( x \right)  \right) ^{2}+1}{ \left| y \left( x \right) +\sqrt {1+y \left( x \right) } \right|  \left( 1+x \right) ^{3/2}}}=0}
\]