2.651   ODE No. 651

\[ y'(x)=\frac {y(x) \left (x^2+\log (y(x))\right )}{x} \]

✓ Mathematica : cpu = 0.0775057 (sec), leaf count = 16

DSolve[Derivative[1][y][x] == ((x^2 + Log[y[x]])*y[x])/x,y[x],x]
 

\[\left \{\left \{y(x)\to e^{x^2+2 c_1 x}\right \}\right \}\]

✓ Maple : cpu = 0.112 (sec), leaf count = 13

dsolve(diff(y(x),x) = (ln(y(x))+x^2)*y(x)/x,y(x))
 

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