5.47   ODE No. 1495

\[ \boxed { {x}^{2}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) +6\,x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +6\,{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.018002 (sec), leaf count = 24 \[ \left \{\left \{y(x)\to -\frac {c_2}{2 x^2}-\frac {c_1}{x}+c_3\right \}\right \} \]

Maple: cpu = 0.015 (sec), leaf count = 16 \[ \left \{ y \left ( x \right ) ={\it \_C1}+{\frac {{\it \_C2}}{{x}^{2}}}+ {\frac {{\it \_C3}}{x}} \right \} \]