ODE No. 1227

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

✓ Mathematica : cpu = 0.0210714 (sec), leaf count = 21

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

\[\left \{\left \{y(x)\to c_2 x-c_1 (x-i)^2\right \}\right \}\]

✓ Maple : cpu = 0.018 (sec), leaf count = 16

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

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