Internal problem ID [6635]
Book: Second order enumerated odes
Section: section 1
Problem number: 3.
ODE order: 2.
ODE degree: 0.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {{y^{\prime \prime }}^{n}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(diff(y(x),x$2)^n=0,y(x), singsol=all)
\[ y \left (x \right ) = x c_{1} +c_{2} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 24
DSolve[(y''[x])^n==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{2} 0^{\frac {1}{n}} x^2+c_2 x+c_1 \\ \end{align*}