3.1 problem 1001

Internal problem ID [8581]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1001.
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(diff(y(x),x),x)=0,y(x), singsol=all)
 

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

Solution by Mathematica

Time used: 0.002 (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*}