ODE No. 975

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

\[ y'(x)=\frac {x^6}{27}+\frac {1}{3} x^4 y(x)+x^2 y(x)^2+y(x)^3-\frac {2 x}{3} \] Mathematica : cpu = 0.010656 (sec), leaf count = 47

\[\left \{\left \{y(x)\to -\frac {1}{\sqrt {c_1-2 x}}-\frac {x^2}{3}\right \},\left \{y(x)\to \frac {1}{\sqrt {c_1-2 x}}-\frac {x^2}{3}\right \}\right \}\] Maple : cpu = 0.054 (sec), leaf count = 59

\[ \left \{ y \left ( x \right ) =-{\frac {1}{3} \left ( {x}^{2}\sqrt {-54\,{\it \_C1}-2\,x}-3 \right ) {\frac {1}{\sqrt {-54\,{\it \_C1}-2\,x}}}},y \left ( x \right ) =-{\frac {1}{3} \left ( {x}^{2}\sqrt {-54\,{\it \_C1}-2\,x}+3 \right ) {\frac {1}{\sqrt {-54\,{\it \_C1}-2\,x}}}} \right \} \]