\[ y'(x)=\frac {14 x^{7/2}+\frac {12 x^6}{5}-6 x^3 y(x)-6 x^3-5 \sqrt {x} y(x)+10 x-5 \sqrt {x}-5}{x \left (2 x^3-5 y(x)+10 \sqrt {x}-5\right )} \] ✓ Mathematica : cpu = 0.060433 (sec), leaf count = 215
DSolve[Derivative[1][y][x] == (-5 - 5*Sqrt[x] + 10*x - 6*x^3 + 14*x^(7/2) + (12*x^6)/5 - 5*Sqrt[x]*y[x] - 6*x^3*y[x])/(x*(-5 + 10*Sqrt[x] + 2*x^3 - 5*y[x])),y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{5} \left (2 x^3+10 \sqrt {x}-5\right )-\frac {\sqrt {-x \left (2 x^3+10 \sqrt {x}-5\right )^2-50 x \left (-\frac {4 x^{7/2}}{5}-\frac {2 x^6}{25}+\frac {2 x^3}{5}-2 x+2 \sqrt {x}+\log (x)\right )-25 c_1 x}}{5 \sqrt {-\frac {1}{x}} x}\right \},\left \{y(x)\to \frac {1}{5} \left (2 x^3+10 \sqrt {x}-5\right )+\frac {\sqrt {-x \left (2 x^3+10 \sqrt {x}-5\right )^2-50 x \left (-\frac {4 x^{7/2}}{5}-\frac {2 x^6}{25}+\frac {2 x^3}{5}-2 x+2 \sqrt {x}+\log (x)\right )-25 c_1 x}}{5 \sqrt {-\frac {1}{x}} x}\right \}\right \}\] ✓ Maple : cpu = 0.064 (sec), leaf count = 49
dsolve(diff(y(x),x) = 1/5*(-30*x^3*y(x)+12*x^6+70*x^(7/2)-30*x^3-25*y(x)*x^(1/2)+50*x-25*x^(1/2)-25)/(-5*y(x)+2*x^3+10*x^(1/2)-5)/x,y(x))
\[y \left (x \right ) = \frac {2 x^{3}}{5}+2 \sqrt {x}-\sqrt {c_{1}+2 \ln \left (x \right )}-1\]