79.2.7 problem 5 (iv)

Internal problem ID [18520]
Book : Elementary Differential Equations. By R.L.E. Schwarzenberger. Chapman and Hall. London. First Edition (1969)
Section : Chapter 4. Autonomous systems. Exercises at page 69
Problem number : 5 (iv)
Date solved : Tuesday, January 28, 2025 at 11:51:46 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} x^{\prime \prime }+3 x^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 19

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

\[ x(t)\to c_2-\frac {1}{3} c_1 e^{-3 t} \]