2.1058   ODE No. 1058

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

\[ \left (x^4-2\right ) x y(x)-\left ((x+1) x^2 y'(x)\right )+y''(x)=0 \] Mathematica : cpu = 0.0641929 (sec), leaf count = 56

\[\left \{\left \{y(x)\to c_2 e^{\frac {x^3}{3}} \int _1^xe^{\frac {K[1]^4}{4}-\frac {K[1]^3}{3}}dK[1]+c_1 e^{\frac {x^3}{3}}\right \}\right \}\] Maple : cpu = 0.261 (sec), leaf count = 29

\[\left \{y \left (x \right ) = \left (c_{2} \left (\int {\mathrm e}^{\frac {1}{4} x^{4}-\frac {1}{3} x^{3}}d x \right )+c_{1}\right ) {\mathrm e}^{\frac {x^{3}}{3}}\right \}\]