ODE No. 656

\[ y'(x)=\frac {y(x) \left (x^3+\log (y(x))\right )}{x} \] Mathematica : cpu = 0.102947 (sec), leaf count = 20

DSolve[Derivative[1][y][x] == ((x^3 + Log[y[x]])*y[x])/x,y[x],x]
 

\[\left \{\left \{y(x)\to e^{\frac {x^3}{2}+3 c_1 x}\right \}\right \}\] Maple : cpu = 0.14 (sec), leaf count = 15

dsolve(diff(y(x),x) = (ln(y(x))+x^3)*y(x)/x,y(x))
 

\[y \left (x \right ) = {\mathrm e}^{\frac {x^{3}}{2}} {\mathrm e}^{x c_{1}}\]