ODE No. 1040

$$y^{″}(x)+x{y}^{\prime }(x)-y(x)=0$$ ✓ Mathematica : cpu = 0.039041 (sec), leaf count = 53

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

$$\left\{\{y(x)\to c_{1}x-\frac{1}{2}{c}_2{e}^{-\frac{x^2}{2}}(\sqrt{2\pi }{e}^{\frac{x^2}{2}}x\text{erf}\left(\frac{x}{\sqrt{2}}\right)+2)\}\right\}$$ ✓ Maple : cpu = 0.045 (sec), leaf count = 33

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

$$y\left(x\right)=\sqrt{\pi }\sqrt{2}{\mathrm{e}}^{-\frac{x^2}{2}}{c}_2+x(\pi c_2\mathrm{erf}\left(\frac{\sqrt{2}x}{2}\right)+c_1)$$