49.4.4 problem 1(d)

Internal problem ID [7615]
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)
Date solved : Monday, January 27, 2025 at 03:07:38 PM
CAS classification : [[_2nd_order, _quadrature]]

\begin{align*} y^{\prime \prime }&=0 \end{align*}

Solution by Maple

Time used: 0.003 (sec). Leaf size: 9

dsolve(diff(y(x),x$2)=0,y(x), singsol=all)
 
\[ y = c_{1} x +c_{2} \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 12

DSolve[D[y[x],{x,2}]==0,y[x],x,IncludeSingularSolutions -> True]
 
\[ y(x)\to c_2 x+c_1 \]