44.5.15 problem 15

Internal problem ID [7077]
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 2.2 Separable equations. Exercises 2.2 at page 53
Problem number : 15
Date solved : Monday, January 27, 2025 at 02:47:15 PM
CAS classification : [_quadrature]

\begin{align*} s^{\prime }&=k s \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 10

dsolve(diff(s(r),r)=k*s(r),s(r), singsol=all)
 

\[ s \left (r \right ) = c_{1} {\mathrm e}^{k r} \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 18

DSolve[D[s[r],r]==k*s[r],s[r],r,IncludeSingularSolutions -> True]
 

\begin{align*} s(r)\to c_1 e^{k r} \\ s(r)\to 0 \\ \end{align*}