73.11.4 problem 17.1 (d)

Internal problem ID [15318]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 17. Second order Homogeneous equations with constant coefficients. Additional exercises page 334
Problem number : 17.1 (d)
Date solved : Tuesday, January 28, 2025 at 07:52:22 AM
CAS classification : [[_2nd_order, _missing_x]]

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

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

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

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

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