74.13.1 problem 17

Internal problem ID [16367]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 4. Higher Order Equations. Exercises 4.5, page 175
Problem number : 17
Date solved : Tuesday, January 28, 2025 at 09:07:16 AM
CAS classification : [[_3rd_order, _quadrature]]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 15

dsolve(diff(y(t),t$3)=0,y(t), singsol=all)
 

\[ y = \frac {1}{2} c_{1} t^{2}+c_{2} t +c_{3} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 17

DSolve[D[ y[t],{t,3}]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to t (c_3 t+c_2)+c_1 \]