4.42.36 $y^{‴}(x)=0$

ODE
$$y^{‴}(x)=0$$ ODE Classification

[[_3rd_order, _quadrature]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.0142119 (sec), leaf count = 17

$$\left\{\{y(x)\to x(c_{3}x+c_2)+c_1\}\right\}$$

Maple ✓
cpu = 0.002 (sec), leaf count = 15

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

DSolve[y'''[x] == 0,y[x],x]

Mathematica raw output

{{y[x] -> C[1] + x*(C[2] + x*C[3])}}

Maple raw input

dsolve(diff(diff(diff(y(x),x),x),x) = 0, y(x),'implicit')

Maple raw output

y(x) = 1/2*_C1*x^2+_C2*x+_C3