74.13.3 problem 20

Internal problem ID [16369]
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 : 20
Date solved : Tuesday, January 28, 2025 at 09:07:17 AM
CAS classification : [[_3rd_order, _missing_x]]

\begin{align*} 8 y^{\prime \prime \prime }+y^{\prime \prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 15

dsolve(8*diff(y(t),t$3)+diff(y(t),t$2)=0,y(t), singsol=all)
 

\[ y = c_{1} +c_{2} t +c_{3} {\mathrm e}^{-\frac {t}{8}} \]

✓ Solution by Mathematica

Time used: 0.041 (sec). Leaf size: 23

DSolve[8*D[ y[t],{t,3}]+D[y[t],{t,2}]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 64 c_1 e^{-t/8}+c_3 t+c_2 \]