ODE No. 1166

\[ -3 x^3+x^2 y''(x)-x y'(x)+y(x)=0 \]

✓ Mathematica : cpu = 0.0080793 (sec), leaf count = 23

DSolve[-3*x^3 + y[x] - x*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to \frac {3 x^3}{4}+c_1 x+c_2 x \log (x)\right \}\right \}\]

✓ Maple : cpu = 0.017 (sec), leaf count = 21

dsolve(x^2*diff(diff(y(x),x),x)-x*diff(y(x),x)+y(x)-3*x^3=0,y(x))

\[y \left (x \right ) = \frac {x \left (4 \ln \left (x \right ) c_{1} +3 x^{2}+4 c_{2} \right )}{4}\]