\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/25\,{\frac {30\,{x}^{3}+25\,\sqrt {x}+25\, \left ( y \left ( x \right ) \right ) ^{2}-20\,{x}^{3}y \left ( x \right ) -100\,y \left ( x \right ) \sqrt {x}+4\,{x}^{6}+40\,{x}^{7/2}+100\,x}{x}}=0} \]
Mathematica: cpu = 0.027003 (sec), leaf count = 31 \[ \left \{\left \{y(x)\to \frac {1}{c_1-\log (x)}+\frac {2}{5} \sqrt {x} \left (x^{5/2}+5\right )\right \}\right \} \]
Maple: cpu = 0.078 (sec), leaf count = 27 \[ \left \{ y \left ( x \right ) =-{\frac {x}{2} \left ( -{\frac {4\,{x}^{2} }{5}}-4\,{\frac {1}{\sqrt {x}}} \right ) }+ \left ( {\it \_C1}-\ln \left ( x \right ) \right ) ^{-1} \right \} \]