1.7 problem 7

Internal problem ID [7396]

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]]

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

Solution by Maple

Time used: 0.016 (sec). Leaf size: 14

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

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

Solution by Mathematica

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

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

\[ y(x)\to \frac {x^2}{2}+c_2 x+c_1 \]