2.1489   ODE No. 1489

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

x2y(3)(x)+(x+1)y(x)y(x)=0 Mathematica : cpu = 0.768181 (sec), leaf count = 0 , DifferentialRoot result

\left \{\left \{y(x)\to \text {DifferentialRoot}\left (\{\unicode {f818},\unicode {f817}\}\unicode {f4a1}\left \{\unicode {f818}^{(3)}(\unicode {f817}) \unicode {f817}^2-\unicode {f818}(\unicode {f817})+(\unicode {f817}+1) \unicode {f818}''(\unicode {f817})=0,\unicode {f818}(1)=c_1,\unicode {f818}'(1)=c_2,\unicode {f818}''(1)=c_3\right \}\right )(x)\right \}\right \}

Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

{y(x)=DESol({_Y(x)+(1+x)d2dx2_Y(x)+x2d3dx3_Y(x)},{_Y(x)})}