44.6.2 problem 2

Internal problem ID [7146]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 2. First order differential equations. Section 2.3 Linear equations. Exercises 2.3 at page 63
Problem number : 2
Date solved : Tuesday, February 04, 2025 at 12:39:48 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }+2 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

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

\[ y = c_1 \,{\mathrm e}^{-2 x} \]

✓ Solution by Mathematica

Time used: 0.019 (sec). Leaf size: 18

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

\begin{align*} y(x)\to c_1 e^{-2 x} \\ y(x)\to 0 \\ \end{align*}