4.45.47 $-12y^{‴}(x)+4y^{⁗}(x)+11y^{″}(x)-3y^{\prime }(x)=0$

ODE
$$-12y^{‴}(x)+4y^{⁗}(x)+11y^{″}(x)-3y^{\prime }(x)=0$$ ODE Classification

[[_high_order, _missing_x]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.0215341 (sec), leaf count = 38

$$\left\{\{y(x)\to 2c_1{e}^{x/2}+\frac{2}{3}{c}_2{e}^{3x/2}+c_3{e}^x+c_4\}\right\}$$

Maple ✓
cpu = 0.012 (sec), leaf count = 22

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

DSolve[-3*y'[x] + 11*y''[x] - 12*y'''[x] + 4*y''''[x] == 0,y[x],x]

Mathematica raw output

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

Maple raw input

dsolve(4*diff(diff(diff(diff(y(x),x),x),x),x)-12*diff(diff(diff(y(x),x),x),x)+11*diff(diff(y(x),x),x)-3*diff(y(x),x) = 0, y(x),'implicit')

Maple raw output

y(x) = _C1+_C2*exp(1/2*x)+_C3*exp(x)+_C4*exp(3/2*x)