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 = 0.750967 (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 = 0.323 (sec), leaf count = 68

\[\{y \left (x \right ) = {\mathrm e}^{\RootOf \left (36 c_{1} x -36 c_{1} {\mathrm e}^{\textit {\_Z}}-36 c_{1} {\mathrm e}^{2 \textit {\_Z}}-18 c_{1} {\mathrm e}^{3 \textit {\_Z}}-12 c_{1} {\mathrm e}^{4 \textit {\_Z}}+6 \textit {\_Z} x -6 \textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}-6 \textit {\_Z} \,{\mathrm e}^{2 \textit {\_Z}}-3 \textit {\_Z} \,{\mathrm e}^{3 \textit {\_Z}}-2 \textit {\_Z} \,{\mathrm e}^{4 \textit {\_Z}}-36\right )}\}\]