ODE
\[ y''''''(x)=0 \] ODE Classification
[[_high_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.00716993 (sec), leaf count = 32
\[\left \{\left \{y(x)\to x \left (x \left (x \left (x \left (c_6 x+c_5\right )+c_4\right )+c_3\right )+c_2\right )+c_1\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,{x}^{5}}{120}}+{\frac {{\it \_C2}\,{x}^{4}}{24}}+{\frac {{\it \_C3}\,{x}^{3}}{6}}+{\frac {{\it \_C4}\,{x}^{2}}{2}}+{\it \_C5}\,x+{\it \_C6} \right \} \] 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),'implicit')
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