2.1523   ODE No. 1523

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

\[ -\left (4 x^2+2\right ) x^2 y''(x)+\left (10 x^2+4\right ) x y'(x)-4 \left (3 x^2+1\right ) y(x)+\left (x^2+1\right ) x^3 y^{(3)}(x)=0 \] Mathematica : cpu = 0.121554 (sec), leaf count = 74

\[\left \{\left \{y(x)\to c_1 \left (-x^3+3 x^2-x\right )+\frac {1}{2} c_2 \left (x^3-2 x^2+x\right )-\frac {c_3 x \left (-x^3+3 x^2-x\right ) (\log (x)+1)}{2 \left (x^2-3 x+1\right )}\right \}\right \}\]

Maple : cpu = 0.459 (sec), leaf count = 26

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{2}+{\it \_C2}\,{x}^{2} \left ( \ln \left ( x \right ) +1 \right ) +{\it \_C3}\, \left ( {x}^{3}+x \right ) \right \} \]