ODE No. 1225

\[ \left (x^2+1\right ) y''(x)-x y'(x)+y(x)=0 \] Mathematica : cpu = 0.0204058 (sec), leaf count = 29

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

\[\left \{\left \{y(x)\to c_2 \left (x \sinh ^{-1}(x)-\sqrt {x^2+1}\right )+c_1 x\right \}\right \}\] Maple : cpu = 0.039 (sec), leaf count = 23

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

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