2.975   ODE No. 975

\[ y'(x)=\frac {x^6}{27}+\frac {1}{3} x^4 y(x)+x^2 y(x)^2+y(x)^3-\frac {2 x}{3} \] Mathematica : cpu = 0.0893045 (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 = 0.034 (sec), leaf count = 59


\[y \relax (x ) = -\frac {x^{2} \sqrt {-54 c_{1}-2 x}-3}{3 \sqrt {-54 c_{1}-2 x}}\]