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 = 0.0519001 (sec), leaf count = 66

\[\left \{\left \{y(x)\to c_1 x-\frac {c_2 \left (3 e^{\frac {x^3}{3}} \left (-x^3\right )^{2/3}+3^{2/3} x^3 \Gamma \left (\frac {2}{3},-\frac {x^3}{3}\right )\right )}{3 \left (-x^3\right )^{2/3}}\right \}\right \}\] Maple : cpu = 0.239 (sec), leaf count = 47

\[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{2}} \left ( {{\rm e}^{{\frac {{x}^{3}}{3}}}} \left ( -{x}^{3} \right ) ^{{\frac {2}{3}}}\sqrt [3]{3}{\it \_C2}+{x}^{3} \left ( -{\it \_C2}\,\Gamma \left ( {\frac {2}{3}} \right ) +{\it \_C2}\,\Gamma \left ( {\frac {2}{3}},-{\frac {{x}^{3}}{3}} \right ) +{\it \_C1} \right ) \right ) } \right \} \]