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 = 0.0530903 (sec), leaf count = 56

\[\left \{\left \{y(x)\to \frac {1}{2} x^2 e^{-\frac {\sqrt {-a}}{2 x^2}} \left (2 c_1 e^{\frac {\sqrt {-a}}{x^2}}+\frac {c_2}{\sqrt {-a}}\right )\right \}\right \}\]

Maple : cpu = 0.048 (sec), leaf count = 35

\[ \left \{ y \left ( x \right ) ={x}^{2} \left ( \cosh \left ( {\frac {1}{2\,{x}^{2}}\sqrt {-a}} \right ) {\it \_C2}+\sinh \left ( {\frac {1}{2\,{x}^{2}}\sqrt {-a}} \right ) {\it \_C1} \right ) \right \} \]