2.886   ODE No. 886

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

\[ y'(x)=\frac {x^6 y(x)^3-3 x^5 y(x)^2+x^4 y(x)^2+3 x^4 y(x)-4 x^3 y(x)-x^3+2 x^2+1}{x^4} \] Mathematica : cpu = 0.169137 (sec), leaf count = 82

\[\text {Solve}\left [-\frac {29}{3} \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {3 x^2 y(x)-3 x+1}{\sqrt [3]{29}}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]=-\frac {29^{2/3}}{9 x}+c_1,y(x)\right ]\] Maple : cpu = 0.133 (sec), leaf count = 42

\[ \left \{ y \left ( x \right ) ={\frac {9\,x-3+29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}x+3\,{\it \_C1}\,x-1 \right ) }{9\,{x}^{2}}} \right \} \]