2.276   ODE No. 276

\[ \left (y(x)^2-x^2\right ) y'(x)+2 x y(x)=0 \] Mathematica : cpu = 0.142776 (sec), leaf count = 61


\[\left \{\left \{y(x)\to \frac {1}{2} \left (e^{c_1}-\sqrt {-4 x^2+e^{2 c_1}}\right )\right \},\left \{y(x)\to \frac {1}{2} \left (\sqrt {-4 x^2+e^{2 c_1}}+e^{c_1}\right )\right \}\right \}\] Maple : cpu = 0.047 (sec), leaf count = 47


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