44.1.11 problem 13

Internal problem ID [6886]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Exercises 1.1 at page 12
Problem number : 13
Date solved : Monday, January 27, 2025 at 02:33:58 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 10

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

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

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 20

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

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