ODE
\[ y''''''(x)=0 \] ODE Classification
[[_high_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.159427 (sec), leaf count = 32
\[\{\{y(x)\to x (x (x (x (c_6 x+c_5)+c_4)+c_3)+c_2)+c_1\}\}\]
Maple ✓
cpu = 0.337 (sec), leaf count = 33
\[\left [y \left (x \right ) = \frac {1}{120} \textit {\_C1} \,x^{5}+\frac {1}{24} \textit {\_C2} \,x^{4}+\frac {1}{6} \textit {\_C3} \,x^{3}+\frac {1}{2} \textit {\_C4} \,x^{2}+\textit {\_C5} x +\textit {\_C6}\right ]\] 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] + x*(C[5] + x*C[6]))))}}
Maple raw input
dsolve(diff(diff(diff(diff(diff(diff(y(x),x),x),x),x),x),x) = 0, y(x))
Maple raw output
[y(x) = 1/120*_C1*x^5+1/24*_C2*x^4+1/6*_C3*x^3+1/2*_C4*x^2+_C5*x+_C6]