2.1126   ODE No. 1126

\[ \left (a^2 x^3+a\right ) y(x)+\left (2 a x^3-1\right ) y'(x)+x y''(x)=0 \]

✗ Mathematica : cpu = 0.498887 (sec), leaf count = 0

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

, DifferentialRoot result

\[\left \{\left \{y(x)\to (x)\right \}\right \}\]

✓ Maple : cpu = 0.044 (sec), leaf count = 19

dsolve(x*diff(diff(y(x),x),x)+(2*a*x^3-1)*diff(y(x),x)+(a^2*x^3+a)*x^2*y(x)=0,y(x))
 

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