2.149   ODE No. 149

\[ \left (x^2+1\right ) y'(x)-x \left (x^2+1\right )+x y(x)=0 \] Mathematica : cpu = 0.0224785 (sec), leaf count = 27


\[\left \{\left \{y(x)\to \frac {1}{3} \left (x^2+1\right )+\frac {c_1}{\sqrt {x^2+1}}\right \}\right \}\] Maple : cpu = 0.01 (sec), leaf count = 20


\[y \relax (x ) = \frac {x^{2}}{3}+\frac {1}{3}+\frac {c_{1}}{\sqrt {x^{2}+1}}\]