2.975   ODE No. 975

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

\[ y'(x)=\frac {1}{3} x^4 y(x)+x^2 y(x)^2+\frac {x^6}{27}+y(x)^3-\frac {2 x}{3} \] Mathematica : cpu = 0.0867243 (sec), leaf count = 47

\[\left \{\left \{y(x)\to -\frac {x^2}{3}-\frac {1}{\sqrt {-2 x+c_1}}\right \},\left \{y(x)\to -\frac {x^2}{3}+\frac {1}{\sqrt {-2 x+c_1}}\right \}\right \}\] Maple : cpu = 0.082 (sec), leaf count = 59

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