1.7 problem 7

Internal problem ID [6639]

Book: Second order enumerated odes
Section: section 1
Problem number: 7.
ODE order: 2.
ODE degree: 1.

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

\[ \boxed {y^{\prime \prime }-1=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 14

dsolve(diff(y(x),x$2)=1,y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {1}{2} x^{2}+x c_{1} +c_{2} \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 19

DSolve[y''[x]==1,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {x^2}{2}+c_2 x+c_1 \\ \end{align*}