71.1.13 problem 27

Internal problem ID [14322]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 1. Introduction. Exercises page 14
Problem number : 27
Date solved : Tuesday, January 28, 2025 at 06:26:35 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 18

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

\begin{align*} y(x)\to c_1 e^{-3 x} \\ y(x)\to 0 \\ \end{align*}