2.1511   ODE No. 1511

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

\[ x^3 y^{(3)}(x)+(x+8) x^3-6 (x-1) x^3 \log (x)+3 x^2 y''(x)-2 x y'(x)+2 y(x)=0 \] Mathematica : cpu = 0.0572187 (sec), leaf count = 51

\[\left \{\left \{y(x)\to \frac {c_1}{x^2}+\frac {1}{450} \left (-50 x^4+50 x^4 \log (x)-18 x^3-135 x^3 \log (x)\right )+c_2 x+c_3 x \log (x)\right \}\right \}\] Maple : cpu = 0.033 (sec), leaf count = 49

\[\left \{y \left (x \right ) = \frac {-50 x^{6}-18 x^{5}+450 c_{1} x^{3}+450 c_{2}+\left (50 x^{6}-135 x^{5}+450 c_{3} x^{3}\right ) \ln \left (x \right )}{450 x^{2}}\right \}\]