2.1521   ODE No. 1521

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

\[ (x+1) x^3 y^{(3)}(x)-(4 x+2) x^2 y''(x)+(10 x+4) x y'(x)-4 (3 x+1) y(x)=0 \] Mathematica : cpu = 0.0564617 (sec), leaf count = 35

\[\left \{\left \{y(x)\to c_1 x^2+c_3 x^2 \left (x+\frac {1}{x}+\log ^2(x)\right )+c_2 x^2 \log (x)\right \}\right \}\] Maple : cpu = 0.349 (sec), leaf count = 28

\[\{y \left (x \right ) = \left (c_{3} x \ln \left (x \right )^{2}+c_{2} x \ln \left (x \right )+c_{3} x^{2}+c_{1} x +c_{3}\right ) x\}\]