2.948   ODE No. 948

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

\[ y'(x)=-\frac {216 y(x)}{36 x^2+4 y(x)^8+12 y(x)^7+33 y(x)^6+60 y(x)^5-24 x y(x)^4-216 y(x)^4-36 x y(x)^3-252 y(x)^3-72 x y(x)^2-396 y(x)^2-72 x y(x)-216 y(x)} \] Mathematica : cpu = 0.581524 (sec), leaf count = 39

\[\text {Solve}\left [\frac {36}{y(x) \left (2 y(x)^3+3 y(x)^2+6 y(x)+6\right )-6 x}+\log (y(x))=c_1,y(x)\right ]\] Maple : cpu = 0.386 (sec), leaf count = 68

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -12\,{\it \_C1}\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{4}-2\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{4}{\it \_Z}-18\,{\it \_C1}\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}-3\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}{\it \_Z}-36\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}{\it \_C1}-6\,{\it \_Z}\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}-36\,{{\rm e}^{{\it \_Z}}}{\it \_C1}-6\,{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+36\,{\it \_C1}\,x+6\,x{\it \_Z}-36 \right ) }} \right \} \]