2.150   ODE No. 150

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

\[ \left (x^2+1\right ) y'(x)-2 x^2+2 x y(x)=0 \] Mathematica : cpu = 0.00920204 (sec), leaf count = 30

\[\left \{\left \{y(x)\to \frac {c_1}{x^2+1}+\frac {2 x^3}{3 \left (x^2+1\right )}\right \}\right \}\]

Maple : cpu = 0.005 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{2}+1} \left ( {\frac {2\,{x}^{3}}{3}}+{\it \_C1} \right ) } \right \} \]