60.3.1 problem 1001

Internal problem ID [11011]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 2, linear second order
Problem number : 1001
Date solved : Monday, January 27, 2025 at 10:41:23 PM
CAS classification : [[_2nd_order, _quadrature]]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 9

dsolve(diff(diff(y(x),x),x)=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]
 

\[ y(x)\to c_2 x+c_1 \]