2.972   ODE No. 972

\[ y'(x)=\frac {x \left (-2 x^4+2 x^2 y(x)-x^2+1\right )}{y(x)-x^2} \] Mathematica : cpu = 0.0358921 (sec), leaf count = 32


\[\left \{\left \{y(x)\to x^2+\frac {1}{2} \left (1+W\left (-e^{x^4-2 x^2-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.165 (sec), leaf count = 27


\[y \relax (x ) = x^{2}+\frac {\LambertW \left (-2 \,{\mathrm e}^{x^{4}} {\mathrm e}^{-2 x^{2}} c_{1} {\mathrm e}^{-1}\right )}{2}+\frac {1}{2}\]