ODE No. 1058

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

\[ \left (x^4-2\right ) x y(x)-(x+1) x^2 y'(x)+y''(x)=0 \] Mathematica : cpu = 1.01624 (sec), leaf count = 55

\[\left \{\left \{y(x)\to c_2 e^{\frac {x^3}{3}} \int _1^x e^{\frac {K[1]^4}{4}-\frac {K[1]^3}{3}} \, dK[1]+c_1 e^{\frac {x^3}{3}}\right \}\right \}\] Maple : cpu = 0.185 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{x}^{3}}{3}}}} \left ( \int \!{{\rm e}^{{\frac {{x}^{4}}{4}}-{\frac {{x}^{3}}{3}}}}\,{\rm d}x{\it \_C2}+{\it \_C1} \right ) \right \} \]