4.45.41 $2y^{‴}(x)+y^{⁗}(x)-3y^{″}(x)-4y^{\prime }(x)+4y(x)=0$

ODE
$$2y^{‴}(x)+y^{⁗}(x)-3y^{″}(x)-4y^{\prime }(x)+4y(x)=0$$ ODE Classification

[[_high_order, _missing_x]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.00909112 (sec), leaf count = 35

$$\left\{\{y(x)\to e^{-2x}(c_3{e}^{3x}+x(c_4{e}^{3x}+c_2)+c_1)\}\right\}$$

Maple ✓
cpu = 0.008 (sec), leaf count = 23

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

DSolve[4*y[x] - 4*y'[x] - 3*y''[x] + 2*y'''[x] + y''''[x] == 0,y[x],x]

Mathematica raw output

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

Maple raw input

dsolve(diff(diff(diff(diff(y(x),x),x),x),x)+2*diff(diff(diff(y(x),x),x),x)-3*diff(diff(y(x),x),x)-4*diff(y(x),x)+4*y(x) = 0, y(x),'implicit')

Maple raw output

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