Internal problem ID [6637]
Book: Second order enumerated odes
Section: section 1
Problem number: 5.
ODE order: 2.
ODE degree: 2.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {a {y^{\prime \prime }}^{2}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 9
dsolve(a*diff(y(x),x$2)^2=0,y(x), singsol=all)
\[ y \left (x \right ) = x c_{1} +c_{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 12
DSolve[a*(y''[x])^2==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_2 x+c_1 \\ \end{align*}