2.1342   ODE No. 1342

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

\[ y''(x)=-\frac {a y(x)}{x^4} \] Mathematica : cpu = 0.084269 (sec), leaf count = 52

\[\left \{\left \{y(x)\to c_1 x e^{\frac {i \sqrt {a}}{x}}-\frac {i c_2 x e^{-\frac {i \sqrt {a}}{x}}}{2 \sqrt {a}}\right \}\right \}\] Maple : cpu = 0.027 (sec), leaf count = 31

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