50.17.8 problem 1(d) solving directly

Internal problem ID [8079]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 4. Power Series Solutions and Special Functions. Section 4.2. Series Solutions of First-Order Differential Equations Page 162
Problem number : 1(d) solving directly
Date solved : Monday, January 27, 2025 at 03:43:18 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 10

dsolve(diff(y(x),x)+y(x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.020 (sec). Leaf size: 18

DSolve[D[y[x],x]+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 e^{-x} \\ y(x)\to 0 \\ \end{align*}