2.1166   ODE No. 1166

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

\[ x^2 y''(x)-3 x^3-x y'(x)+y(x)=0 \] Mathematica : cpu = 0.0114063 (sec), leaf count = 23

\[\left \{\left \{y(x)\to \frac {3 x^3}{4}+c_1 x+c_2 x \log (x)\right \}\right \}\] Maple : cpu = 0.012 (sec), leaf count = 21

\[ \left \{ y \left ( x \right ) ={\frac {x \left ( 4\,{\it \_C1}\,\ln \left ( x \right ) +3\,{x}^{2}+4\,{\it \_C2} \right ) }{4}} \right \} \]