2.431   ODE No. 431

\[ x^2 y'(x)^2-y(x)^4+y(x)^2=0 \] Mathematica : cpu = 0.0542527 (sec), leaf count = 81


\[\left \{\left \{y(x)\to -\sqrt {1+\tan ^2(-\log (x)+c_1)}\right \},\left \{y(x)\to \sqrt {1+\tan ^2(-\log (x)+c_1)}\right \},\left \{y(x)\to -\sqrt {1+\tan ^2(\log (x)+c_1)}\right \},\left \{y(x)\to \sqrt {1+\tan ^2(\log (x)+c_1)}\right \}\right \}\] Maple : cpu = 0.258 (sec), leaf count = 62


\[y \relax (x ) = -1\]