ODE No. 1490

$$x^2{y}^{(3)}(x)+(x^2+1)y^{\prime }(x)-x{y}^{″}(x)=0$$ ✓ 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]
 

$$\left\{\{y(x)\to \frac{1}{2}{c}_1{x}^2{}_0{\tilde{F}}_1(;2;-\frac{x^2}{4})+c_{2}x{Y}_1(x)+c_3\}\right\}$$ ✓ 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))
 

$$y\left(x\right)=c_1+c_{2}x\mathrm{BesselJ}(1,x)+c_{3}x\mathrm{BesselY}(1,x)$$