2.259   ODE No. 259

\[ 2 x^2 y(x) y'(x)-e^{x-\frac {1}{x}} x^2-y(x)^2=0 \] Mathematica : cpu = 0.266419 (sec), leaf count = 50


\[\left \{\left \{y(x)\to -e^{\left .-\frac {1}{2}\right /x} \sqrt {e^x+c_1}\right \},\left \{y(x)\to e^{\left .-\frac {1}{2}\right /x} \sqrt {e^x+c_1}\right \}\right \}\] Maple : cpu = 0.036 (sec), leaf count = 51


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