2.979   ODE No. 979

\[ y'(x)=\frac {-x^3+3 x^2 y(x)-3 x y(x)^2+y(x)^3+x}{x} \] Mathematica : cpu = 0.101009 (sec), leaf count = 37


\[\left \{\left \{y(x)\to x-\frac {1}{\sqrt {-2 \log (x)+c_1}}\right \},\left \{y(x)\to x+\frac {1}{\sqrt {-2 \log (x)+c_1}}\right \}\right \}\] Maple : cpu = 0.042 (sec), leaf count = 57


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