ODE No. 1397

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

\[ y''(x)=\frac {y(x)}{x^5}-\frac {y'(x)}{x^4} \] Mathematica : cpu = 0.0452896 (sec), leaf count = 38

\[\left \{\left \{y(x)\to \frac {c_2 \Gamma \left (\frac {1}{3},-\frac {1}{3 x^3}\right )}{3^{2/3} \sqrt [3]{-\frac {1}{x^3}}}+c_1 x\right \}\right \}\] Maple : cpu = 0.126 (sec), leaf count = 27

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