4.347   ODE No. 1347

\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) =-{\frac {{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{x}}-{\frac {y \left ( x \right ) }{{x}^{4}}}=0} \]

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

Mathematica: cpu = 0.076510 (sec), leaf count = 31 \[ \left \{\left \{y(x)\to c_2 J_0\left (\frac {1}{x}\right )+\frac {c_1 K_0\left (\frac {i}{x}\right )}{\sqrt {\pi }}\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl J}_{0}\left ({x}^{-1} \right )}+{\it \_C2}\,{{\sl Y}_{0}\left ({x}^{-1}\right )} \right \} \]