\[ x^2 y^{(3)}(x)+\left (x^2+1\right ) y'(x)-x y''(x)=0 \] ✓ Mathematica : cpu = 0.0263506 (sec), leaf count = 33
DSolve[(1 + x^2)*Derivative[1][y][x] - x*Derivative[2][y][x] + x^2*Derivative[3][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{2} c_1 x^2 \, _0\tilde {F}_1\left (;2;-\frac {x^2}{4}\right )+c_2 x Y_1(x)+c_3\right \}\right \}\] ✓ Maple : cpu = 0.056 (sec), leaf count = 18
dsolve(x^2*diff(diff(diff(y(x),x),x),x)-x*diff(diff(y(x),x),x)+(x^2+1)*diff(y(x),x)=0,y(x))
\[y \left (x \right ) = c_{1}+c_{2} x \BesselJ \left (1, x\right )+c_{3} x \BesselY \left (1, x\right )\]