4.45.11 $y^{⁗}(x)=0$

ODE
$$y^{⁗}(x)=0$$ ODE Classification

[[_high_order, _quadrature]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.00635236 (sec), leaf count = 22

$$\left\{\{y(x)\to x(x(c_{4}x+c_3)+c_2)+c_1\}\right\}$$

Maple ✓
cpu = 0.006 (sec), leaf count = 21

$$\{y\left(x\right)=\frac{x^3\mathit{\_}\mathit{C}\mathit{1}}{6}+\frac{x^2\mathit{\_}\mathit{C}\mathit{2}}{2}+\mathit{\_}\mathit{C}\mathit{3}x+\mathit{\_}\mathit{C}\mathit{4}\}$$ Mathematica raw input

DSolve[y''''[x] == 0,y[x],x]

Mathematica raw output

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

Maple raw input

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

Maple raw output

y(x) = 1/6*x^3*_C1+1/2*x^2*_C2+_C3*x+_C4