4.45.34 $-y^{‴}(x)+y^{⁗}(x)-3y^{″}(x)+5y^{\prime }(x)-2y(x)=0$

ODE
$$-y^{‴}(x)+y^{⁗}(x)-3y^{″}(x)+5y^{\prime }(x)-2y(x)=0$$ ODE Classification

[[_high_order, _missing_x]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.00883226 (sec), leaf count = 32

$$\left\{\{y(x)\to e^{-2x}(e^{3x}(x(c_{4}x+c_3)+c_2)+c_1)\}\right\}$$

Maple ✓
cpu = 0.01 (sec), leaf count = 24

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

DSolve[-2*y[x] + 5*y'[x] - 3*y''[x] - y'''[x] + y''''[x] == 0,y[x],x]

Mathematica raw output

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

Maple raw input

dsolve(diff(diff(diff(diff(y(x),x),x),x),x)-diff(diff(diff(y(x),x),x),x)-3*diff(diff(y(x),x),x)+5*diff(y(x),x)-2*y(x) = 0, y(x),'implicit')

Maple raw output

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