73.10.18 problem 15.7 (a)

Internal problem ID [15313]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 15. General solutions to Homogeneous linear differential equations. Additional exercises page 294
Problem number : 15.7 (a)
Date solved : Tuesday, January 28, 2025 at 07:52:16 AM
CAS classification : [[_3rd_order, _missing_x]]

\begin{align*} y^{\prime \prime \prime }-9 y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 18

dsolve(diff(y(x),x$3)-9*diff(y(x),x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 30

DSolve[D[y[x],{x,3}]-9*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{3} c_1 e^{3 x}-\frac {1}{3} c_2 e^{-3 x}+c_3 \]