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 = 0.0382826 (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 = 0.104 (sec), leaf count = 48

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