56.1.54 problem 54

Internal problem ID [8766]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 54
Date solved : Monday, January 27, 2025 at 04:48:34 PM
CAS classification : [[_2nd_order, _quadrature]]

\begin{align*} y^{\prime \prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 9

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

\[ y = c_{1} t +c_{2} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 12

DSolve[D[y[t],{t,2}]==0,y[t],t,IncludeSingularSolutions -> True]
 

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