2.844   ODE No. 844

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

y(x)=y(x)(y(x)+1)(y(x)+x)x(xy(x)+y(x)+x) Mathematica : cpu = 18.9097 (sec), leaf count = 386

Solve[22/3(1(x6(x+1)3)2/3(x+1)2((x2)y(x)+x)x4((x+1)y(x)+x))((x6(x+1)3)2/3(x+1)2((x2)y(x)+x)x4((x+1)y(x)+x)+2)((1(x6(x+1)3)2/3(x+1)2((x2)y(x)+x)x4((x+1)y(x)+x))log(22/3(1(x6(x+1)3)2/3(x+1)2((x2)y(x)+x)x4((x+1)y(x)+x)))+((x6(x+1)3)2/3(x+1)2((x2)y(x)+x)x4((x+1)y(x)+x)1)log(22/3((x6(x+1)3)2/3(x+1)2((x2)y(x)+x)x4((x+1)y(x)+x)+2))3)9(3(x6(x+1)3)2/3(x+1)2((x2)y(x)+x)x4((x+1)y(x)+x)((x2)y(x)+x)3((x+1)y(x)+x)32)=c1+22/3(x6(x+1)3)2/3(x+1)29x3,y(x)]

Maple : cpu = 0.691 (sec), leaf count = 97

{y(x)=xeRootOf(ln(e_Z2+92)e_Z+3_C1e_Z+_Ze_Z+e_Zx+9)(eRootOf(ln(e_Z2+92)e_Z+3_C1e_Z+_Ze_Z+e_Zx+9)x+eRootOf(ln(e_Z2+92)e_Z+3_C1e_Z+_Ze_Z+e_Zx+9)+9)1}