63.14.1 problem 1(a)

Internal problem ID [13177]
Book : A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag, NY. 2015.
Section : Chapter 2, Second order linear equations. Section 2.5 Higher order equations. Exercises page 130
Problem number : 1(a)
Date solved : Tuesday, January 28, 2025 at 05:12:01 AM
CAS classification : [[_3rd_order, _missing_x]]

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

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

Time used: 60.019 (sec). Leaf size: 28

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

\[ x(t)\to \int _1^t(c_1 \cos (K[1])+c_2 \sin (K[1]))dK[1]+c_3 \]