\[ \boxed{ {\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {-32\,xy \left( x \right) -72\,{x}^{3}+32\,{x}^{2}-32\,x+64\, \left( y \left( x \right) \right) ^{3}+48\,{x}^{2} \left( y \left( x \right) \right) ^{2}-192\,x \left( y \left( x \right) \right) ^{2}+12\,y \left( x \right) {x}^{4}-96\,{x}^{3}y \left( x \right) +192\,{x}^{2}y \left( x \right) +{x}^{6}-12\,{x}^{5}+48\,{x}^{4}}{64\,y \left( x \right) +16\,{x}^{2}-64\,x+64}}=0} \]