2.1310   ODE No. 1310

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

\[ x^3 y''(x)+3 x^2 y'(x)+x y(x)-1=0 \] Mathematica : cpu = 0.0133402 (sec), leaf count = 27

\[\left \{\left \{y(x)\to \frac {2 c_2 \log (x)+2 c_1+\log ^2(x)}{2 x}\right \}\right \}\]

Maple : cpu = 0.013 (sec), leaf count = 20

\[ \left \{ y \left ( x \right ) ={\frac {1}{x} \left ( {\frac { \left ( \ln \left ( x \right ) \right ) ^{2}}{2}}+{\it \_C1}\,\ln \left ( x \right ) +{\it \_C2} \right ) } \right \} \]