Internal problem ID [5194]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 2. Linear equations with constant coefficients. Page 52
Problem number: 1(d).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
Solve \begin {gather*} \boxed {y^{\prime \prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(diff(y(x),x$2)=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]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_2 x+c_1 \\ \end{align*}