ODE
\[ y'''(x)=0 \] ODE Classification
[[_3rd_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.153818 (sec), leaf count = 17
\[\{\{y(x)\to x (c_3 x+c_2)+c_1\}\}\]
Maple ✓
cpu = 0.111 (sec), leaf count = 15
\[\left [y \left (x \right ) = \frac {1}{2} x^{2} \textit {\_C1} +\textit {\_C2} x +\textit {\_C3}\right ]\] 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))
Maple raw output
[y(x) = 1/2*x^2*_C1+_C2*x+_C3]