ODE
\[ y''''(x)=0 \] ODE Classification
[[_high_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.156089 (sec), leaf count = 22
\[\{\{y(x)\to x (x (c_4 x+c_3)+c_2)+c_1\}\}\]
Maple ✓
cpu = 0.187 (sec), leaf count = 21
\[\left [y \left (x \right ) = \frac {1}{6} \textit {\_C1} \,x^{3}+\frac {1}{2} x^{2} \textit {\_C2} +\textit {\_C3} x +\textit {\_C4}\right ]\] 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))
Maple raw output
[y(x) = 1/6*_C1*x^3+1/2*x^2*_C2+_C3*x+_C4]