2.935   ODE No. 935

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

\[ y'(x)=\frac {x^6}{64}-\frac {3 x^5}{16}+\frac {3}{16} x^4 y(x)+\frac {13 x^4}{16}-\frac {3}{2} x^3 y(x)-\frac {3 x^3}{2}+\frac {3}{4} x^2 y(x)^2+\frac {7}{2} x^2 y(x)+x^2-3 x y(x)^2-2 x y(x)+y(x)^3+y(x)^2-\frac {x}{2}+1 \] Mathematica : cpu = 20.0475 (sec), leaf count = 117

\[\text {Solve}\left [-\frac {2^{2/3} \left (x^2 \left (-\log \left (4 y(x)+(x-2)^2\right )\right )+(x-4) x \log (-4 y(x)-(x-4) x)+4 x \log \left (4 y(x)+(x-2)^2\right )+4 y(x) \left (\log (-4 y(x)-(x-4) x)-\log \left (4 y(x)+(x-2)^2\right )\right )+4\right )}{9 (4 y(x)+(x-4) x)}=c_1+\frac {1}{9} 2^{2/3} x,y(x)\right ]\]

Maple : cpu = 0.316 (sec), leaf count = 55

\[ \left \{ y \left ( x \right ) ={\frac {{{\rm e}^{{\it RootOf} \left ( \ln \left ( {{\rm e}^{{\it \_Z}}}-4 \right ) {{\rm e}^{{\it \_Z}}}+{\it \_C1}\,{{\rm e}^{{\it \_Z}}}-{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+{{\rm e}^{{\it \_Z}}}x-4\,\ln \left ( {{\rm e}^{{\it \_Z}}}-4 \right ) -4\,{\it \_C1}+4\,{\it \_Z}-4\,x+4 \right ) }}}{4}}-1-{\frac {{x}^{2}}{4}}+x \right \} \]