2.415   ODE No. 415

\[ y(x) y'(x)+x y'(x)^2-y(x)^4=0 \] Mathematica : cpu = 0.31125 (sec), leaf count = 25


\[\left \{\left \{y(x)\to \frac {2 e^{\frac {c_1}{2}}}{-4 x+e^{c_1}}\right \}\right \}\] Maple : cpu = 0.289 (sec), leaf count = 95


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