4.44.13 $(1-2x)y^{‴}(x)-(x+4)y^{″}(x)-2y^{\prime }(x)=0$

ODE
$$(1-2x)y^{‴}(x)-(x+4)y^{″}(x)-2y^{\prime }(x)=0$$ ODE Classification

[[_3rd_order, _missing_y]]

Book solution method
TO DO

Mathematica ✗
cpu = 600.603 (sec), leaf count = 0 , timed out

$Aborted

Maple ✓
cpu = 0.117 (sec), leaf count = 45

$$\{y\left(x\right)=1(\mathit{\_}\mathit{C}\mathit{3}+\int \frac{2\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{2}}{1-2x}{\mathrm{e}}^{\frac{x}{2}}\sqrt[4]{-1+2x}\mathrm{d}x){\mathrm{e}}^{-\frac{x}{2}}\frac{1}{\sqrt[4]{-1+2x}}\}$$ Mathematica raw input

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

Mathematica raw output

$Aborted

Maple raw input

dsolve((1-2*x)*diff(diff(diff(y(x),x),x),x)-(4+x)*diff(diff(y(x),x),x)-2*diff(y(x),x) = 0, y(x),'implicit')

Maple raw output

y(x) = (_C3+Int((2*_C1*x+_C2)*exp(1/2*x)*(-1+2*x)^(1/4)/(1-2*x),x))*exp(-1/2*x)/
(-1+2*x)^(1/4)