\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =1/25\,{\frac {-150\,{x}^{3}y \left( x \right) +60\,{x}^{6}+350\,{x}^{7/2}-150\,{x}^{3}-125\,y \left( x \right) \sqrt {x}+250\,x-125\,\sqrt {x}-125\, \left( y \left( x \right)  \right) ^{3}+150\,{x}^{3} \left( y \left( x \right)  \right) ^{2}+750\, \left( y \left( x \right)  \right) ^{2}\sqrt {x}-60\,y \left( x \right) {x}^{6}-600\,y \left( x \right) {x}^{7/2}-1500\,xy \left( x \right) +8\,{x}^{9}+120\,{x}^{13/2}+600\,{x}^{4}+1000\,{x}^{3/2}}{ \left( -5\,y \left( x \right) +2\,{x}^{3}+10\,\sqrt {x}-5 \right) x}}=0}
\]