2.149   ODE No. 149

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ \left (x^2+1\right ) y'(x)-x \left (x^2+1\right )+x y(x)=0 \] Mathematica : cpu = 0.0242506 (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 = 0.011 (sec), leaf count = 20

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