1.54 problem 54

Internal problem ID [7098]

Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 54.
ODE order: 2.
ODE degree: 1.

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

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

Solution by Maple

Time used: 0.0 (sec). Leaf size: 9

dsolve(diff(y(t),t$2)=0,y(t), singsol=all)
 

\[ y \left (t \right ) = c_{1} t +c_{2} \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 12

DSolve[y''[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

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