1.11 problem 11

Internal problem ID [6644]

Book: Second order enumerated odes
Section: section 1
Problem number: 11.
ODE order: 2.
ODE degree: 3.

CAS Maple gives this as type [[_2nd_order, _quadrature]]

Solve \begin {gather*} \boxed {\left (y^{\prime \prime }\right )^{3}=0} \end {gather*}

Solution by Maple

Time used: 0.063 (sec). Leaf size: 9

dsolve(diff(y(x),x$2)^3=0,y(x), singsol=all)
 

\[ y \relax (x ) = c_{1} x +c_{2} \]

Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 12

DSolve[(y''[x])^3==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_2 x+c_1 \\ \end{align*}