50.17.10 problem 1(e) solving directly

Internal problem ID [8081]
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(e) solving directly
Date solved : Monday, January 27, 2025 at 03:43:20 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 8

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

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

✓ Solution by Mathematica

Time used: 0.021 (sec). Leaf size: 16

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*}