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 = 0.121634 (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 = 0.45 (sec), leaf count = 23

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