2.1523   ODE No. 1523

\[ -\left (4 x^2+2\right ) x^2 y''(x)+\left (10 x^2+4\right ) x y'(x)-4 \left (3 x^2+1\right ) y(x)+\left (x^2+1\right ) x^3 y^{(3)}(x)=0 \] Mathematica : cpu = 0.275438 (sec), leaf count = 74


\[\left \{\left \{y(x)\to c_1 \left (-x^3+3 x^2-x\right )+\frac {1}{2} c_2 \left (x^3-2 x^2+x\right )-\frac {c_3 x \left (-x^3+3 x^2-x\right ) (\log (x)+1)}{2 \left (x^2-3 x+1\right )}\right \}\right \}\] Maple : cpu = 0.311 (sec), leaf count = 23


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