Internal problem ID [7101]
Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 57.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {y^{\prime \prime }=k} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve(diff(y(t),t$2)=k,y(t), singsol=all)
\[ y \left (t \right ) = \frac {1}{2} k \,t^{2}+c_{1} t +c_{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 20
DSolve[y''[t]==k,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {k t^2}{2}+c_2 t+c_1 \]