2.1400   ODE No. 1400

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

\[ y''(x)=\frac {y'(x)}{x}-\frac {a y(x)}{x^6} \] Mathematica : cpu = 0.0992482 (sec), leaf count = 60

\[\left \{\left \{y(x)\to c_1 x^2 e^{\frac {i \sqrt {a}}{2 x^2}}-\frac {i c_2 x^2 e^{-\frac {i \sqrt {a}}{2 x^2}}}{2 \sqrt {a}}\right \}\right \}\] Maple : cpu = 0.054 (sec), leaf count = 35

\[\left \{y \left (x \right ) = \left (c_{1} \sinh \left (\frac {\sqrt {-a}}{2 x^{2}}\right )+c_{2} \cosh \left (\frac {\sqrt {-a}}{2 x^{2}}\right )\right ) x^{2}\right \}\]