\[ y'(x)=\frac {x^3 \sqrt {x^2+y(x)^2}+y(x)}{x} \] ✓ Mathematica : cpu = 0.103053 (sec), leaf count = 40
DSolve[Derivative[1][y][x] == (y[x] + x^3*Sqrt[x^2 + y[x]^2])/x,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{2} x e^{-\frac {x^3}{3}-c_1} \left (-1+e^{\frac {2 x^3}{3}+2 c_1}\right )\right \}\right \}\] ✓ Maple : cpu = 5.313 (sec), leaf count = 30
dsolve(diff(y(x),x) = (y(x)+x^3*(y(x)^2+x^2)^(1/2))/x,y(x))
\[\ln \left (\sqrt {y \left (x \right )^{2}+x^{2}}+y \left (x \right )\right )-\frac {x^{3}}{3}-\ln \left (x \right )-c_{1} = 0\]