ODE No. 1503

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

\[ \left (x^2+1\right ) y^{(3)}(x)+\frac {1}{x^2}+8 x y''(x)+10 y'(x)-2 \log (x)-3=0 \] Mathematica : cpu = 0.113854 (sec), leaf count = 62

\[\left \{\left \{y(x)\to c_3-\frac {100 \left (3 c_2-1\right ) x^3+900 c_2 x+225 c_1+36 x^5-60 \left (3 x^4+10 x^2+15\right ) x \log (x)}{900 \left (x^2+1\right )^2}\right \}\right \}\] Maple : cpu = 0.029 (sec), leaf count = 67

\[ \left \{ y \left ( x \right ) ={\frac { \left ( 45\,{x}^{5}+150\,{x}^{3}+225\,x \right ) \ln \left ( x \right ) -9\,{x}^{5}+225\,{\it \_C1}\,{x}^{4}+ \left ( 225\,{\it \_C2}-50 \right ) {x}^{3}+450\,{\it \_C1}\,{x}^{2}+ \left ( 675\,{\it \_C2}-225 \right ) x+225\,{\it \_C3}}{225\, \left ( {x}^{2}+1 \right ) ^{2}}} \right \} \]