2.451   ODE No. 451

\[ \left (a+x^2\right ) y'(x)^2+b-2 x y(x) y'(x)+y(x)^2=0 \] Mathematica : cpu = 0.0494847 (sec), leaf count = 51


\[\left \{\left \{y(x)\to c_1 x-\sqrt {-b-a c_1{}^2}\right \},\left \{y(x)\to \sqrt {-b-a c_1{}^2}+c_1 x\right \}\right \}\] Maple : cpu = 0.066 (sec), leaf count = 78


\[y \relax (x ) = \frac {\sqrt {-a b \left (x^{2}+a \right )}}{a}\]