76.24.9 problem 11

Internal problem ID [17808]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 6. Systems of First Order Linear Equations. Section 6.2 (Basic Theory of First Order Linear Systems). Problems at page 398
Problem number : 11
Date solved : Tuesday, January 28, 2025 at 11:03:17 AM
CAS classification : [[_3rd_order, _missing_x]]

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

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 14

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

\[ y = c_{1} +c_{2} \sin \left (t \right )+\cos \left (t \right ) c_{3} \]

✓ Solution by Mathematica

Time used: 0.049 (sec). Leaf size: 19

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

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