4.45.26 $y^{⁗}(x)+3y^{″}(x)-4y(x)=0$

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

[[_high_order, _missing_x]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.00871098 (sec), leaf count = 34

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

Maple ✓
cpu = 0.008 (sec), leaf count = 27

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

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

Mathematica raw output

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

Maple raw input

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

Maple raw output

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