2.1397   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 = 0.0519583 (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 = 0.111 (sec), leaf count = 27

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