2.239   ODE No. 239

\[ \left (x y(x)-x^2\right ) y'(x)-2 x^2-3 x y(x)+y(x)^2=0 \] Mathematica : cpu = 0.118808 (sec), leaf count = 54


\[\left \{\left \{y(x)\to x-\frac {\sqrt {2 x^4+e^{2 c_1}}}{x}\right \},\left \{y(x)\to x+\frac {\sqrt {2 x^4+e^{2 c_1}}}{x}\right \}\right \}\] Maple : cpu = 0.166 (sec), leaf count = 59


\[y \relax (x ) = \frac {x^{2} c_{1}-\sqrt {2 x^{4} c_{1}^{2}+1}}{c_{1} x}\]