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 = 0.0379453 (sec), leaf count = 51

\[\left \{\left \{y(x)\to \frac {c_1}{x^2}+c_2 x+c_3 x \log (x)+\frac {1}{450} \left (-50 x^4+50 x^4 \log (x)-18 x^3-135 x^3 \log (x)\right )\right \}\right \}\]

Maple : cpu = 0.033 (sec), leaf count = 37

\[ \left \{ y \left ( x \right ) ={\frac {{x}^{3} \left ( 50\,x\ln \left ( x \right ) -135\,\ln \left ( x \right ) -50\,x-18 \right ) }{450}}+{\it \_C1}\,x+{\frac {{\it \_C2}}{{x}^{2}}}+{\it \_C3}\,x\ln \left ( x \right ) \right \} \]