4.310   ODE No. 1310

\[ \boxed { {x}^{3}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +3\,{x}^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +xy \left ( x \right ) -1=0} \]

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

Mathematica: cpu = 0.010001 (sec), leaf count = 31 \[ \left \{\left \{y(x)\to \frac {c_1}{x}+\frac {c_2 \log (x)}{x}+\frac {\log ^2(x)}{2 x}\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 20 \[ \left \{ y \left ( x \right ) ={\frac {1}{x} \left ( {\frac { \left ( \ln \left ( x \right ) \right ) ^{2}}{2}}+{\it \_C1}\,\ln \left ( x \right ) +{\it \_C2} \right ) } \right \} \]