2.1058   ODE No. 1058

\[ \left (x^4-2\right ) x y(x)-\left ((x+1) x^2 y'(x)\right )+y''(x)=0 \] Mathematica : cpu = 0.0527202 (sec), leaf count = 56


\[\left \{\left \{y(x)\to c_2 e^{\frac {x^3}{3}} \int _1^xe^{\frac {K[1]^4}{4}-\frac {K[1]^3}{3}}dK[1]+c_1 e^{\frac {x^3}{3}}\right \}\right \}\] Maple : cpu = 0.122 (sec), leaf count = 29


\[y \relax (x ) = {\mathrm e}^{\frac {x^{3}}{3}} \left (\left (\int {\mathrm e}^{\frac {1}{4} x^{4}-\frac {1}{3} x^{3}}d x \right ) c_{2}+c_{1}\right )\]