2.407   ODE No. 407

\[ x y'(x)^2-y(x)=0 \] Mathematica : cpu = 0.0308156 (sec), leaf count = 51


\[\left \{\left \{y(x)\to \frac {1}{4} \left (4 x-4 c_1 \sqrt {x}+c_1{}^2\right )\right \},\left \{y(x)\to \frac {1}{4} \left (4 x+4 c_1 \sqrt {x}+c_1{}^2\right )\right \}\right \}\] Maple : cpu = 0.036 (sec), leaf count = 39


\[y \relax (x ) = 0\]