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 = 0.0094741 (sec), leaf count = 31

\[\left \{\left \{y(x)\to \frac {\log ^2(x)}{2 x}+\frac {c_1}{x}+\frac {c_2 \log (x)}{x}\right \}\right \}\] Maple : cpu = 0.013 (sec), leaf count = 20

\[\left \{y \left (x \right ) = \frac {c_{1} \ln \left (x \right )+\frac {\ln \left (x \right )^{2}}{2}+c_{2}}{x}\right \}\]