4.184   ODE No. 1184

\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -4\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +6\,y \left ( x \right ) -{x}^{4}+{x}^{2}=0} \]

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

Mathematica: cpu = 0.018502 (sec), leaf count = 38 \[ \left \{\left \{y(x)\to c_2 x^3+c_1 x^2+\frac {1}{2} \left (x^4+2 x^2+2 x^2 \log (x)\right )\right \}\right \} \]

Maple: cpu = 0.015 (sec), leaf count = 29 \[ \left \{ y \left ( x \right ) ={x}^{2}{\it \_C2}+{\it \_C1}\,{x}^{3}+{ \frac {{x}^{2} \left ( {x}^{2}+2\,\ln \left ( x \right ) +2 \right ) }{2} } \right \} \]