2.1136   ODE No. 1136

\[ 4 x y''(x)+4 y'(x)+(-x-2) y(x)=0 \] Mathematica : cpu = 0.0201954 (sec), leaf count = 30

DSolve[(-2 - x)*y[x] + 4*Derivative[1][y][x] + 4*x*Derivative[2][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to c_2 e^{x/2} \operatorname {ExpIntegralEi}(-x)+c_1 e^{x/2}\right \}\right \}\] Maple : cpu = 0.023 (sec), leaf count = 16

dsolve(4*x*diff(diff(y(x),x),x)+4*diff(y(x),x)-(x+2)*y(x)=0,y(x))
 

\[y \left (x \right ) = {\mathrm e}^{\frac {x}{2}} \left (\operatorname {expIntegral}_{1}\left (x \right ) c_{2}+c_{1}\right )\]