2.444   ODE No. 444

\[ x^2 y'(x)^2-(y(x)-2 x) y(x) y'(x)+y(x)^2=0 \] Mathematica : cpu = 0.382983 (sec), leaf count = 75


\[\left \{\left \{y(x)\to -\frac {\cosh (2 c_1)-\sinh (2 c_1)}{x \cosh (2 c_1)+x \sinh (2 c_1)-1}\right \},\left \{y(x)\to -\frac {\cosh (2 c_1)-\sinh (2 c_1)}{x \cosh (2 c_1)+x \sinh (2 c_1)+1}\right \}\right \}\] Maple : cpu = 1.155 (sec), leaf count = 120


\[y \relax (x ) = 4 x\]