4.45.43 $-4y^{‴}(x)+y^{⁗}(x)+6y^{″}(x)-4y^{\prime }(x)+y(x)=0$

ODE
$$-4y^{‴}(x)+y^{⁗}(x)+6y^{″}(x)-4y^{\prime }(x)+y(x)=0$$ ODE Classification

[[_high_order, _missing_x]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.00887705 (sec), leaf count = 26

$$\left\{\{y(x)\to e^x(x(x(c_{4}x+c_3)+c_2)+c_1)\}\right\}$$

Maple ✓
cpu = 0.006 (sec), leaf count = 22

$$\{y\left(x\right)={\mathrm{e}}^x(\mathit{\_}\mathit{C}\mathit{4}{x}^3+\mathit{\_}\mathit{C}\mathit{3}{x}^2+\mathit{\_}\mathit{C}\mathit{2}x+\mathit{\_}\mathit{C}\mathit{1})\}$$ Mathematica raw input

DSolve[y[x] - 4*y'[x] + 6*y''[x] - 4*y'''[x] + y''''[x] == 0,y[x],x]

Mathematica raw output

{{y[x] -> E^x*(C[1] + x*(C[2] + x*(C[3] + x*C[4])))}}

Maple raw input

dsolve(diff(diff(diff(diff(y(x),x),x),x),x)-4*diff(diff(diff(y(x),x),x),x)+6*diff(diff(y(x),x),x)-4*diff(y(x),x)+y(x) = 0, y(x),'implicit')

Maple raw output

y(x) = exp(x)*(_C4*x^3+_C3*x^2+_C2*x+_C1)