ODE No. 150

\[ \left (x^2+1\right ) y'(x)-2 x^2+2 x y(x)=0 \]

✓ Mathematica : cpu = 0.0178508 (sec), leaf count = 30

DSolve[-2*x^2 + 2*x*y[x] + (1 + x^2)*Derivative[1][y][x] == 0,y[x],x]

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

✓ Maple : cpu = 0.007 (sec), leaf count = 23

dsolve((x^2+1)*diff(y(x),x)+2*x*y(x)-2*x^2 = 0,y(x))

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