2.1056   ODE No. 1056

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ x^2 \left (-y'(x)\right )+y''(x)+x y(x)=0 \] Mathematica : cpu = 0.0516783 (sec), leaf count = 41

\[\left \{\left \{y(x)\to c_1 x-\frac {c_2 \sqrt [3]{-x^3} \Gamma \left (-\frac {1}{3},-\frac {x^3}{3}\right )}{3 \sqrt [3]{3}}\right \}\right \}\] Maple : cpu = 0.101 (sec), leaf count = 52

\[\left \{y \left (x \right ) = c_{1} x +c_{2} \left (-6 \,3^{\frac {2}{3}} \left (-x^{3}\right )^{\frac {1}{3}} \Gamma \left (\frac {2}{3}, -\frac {x^{3}}{3}\right )+18 \,{\mathrm e}^{\frac {x^{3}}{3}}+6 \,3^{\frac {2}{3}} \left (-x^{3}\right )^{\frac {1}{3}} \Gamma \left (\frac {2}{3}\right )\right )\right \}\]