44.6.1 problem 1

Internal problem ID [7145]
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 : 1
Date solved : Tuesday, February 04, 2025 at 12:39:46 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=5 y \end{align*}

✓ Solution by Maple

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

dsolve(diff(y(x),x)=5*y(x),y(x), singsol=all)
 

\[ y = c_1 \,{\mathrm e}^{5 x} \]

✓ Solution by Mathematica

Time used: 0.020 (sec). Leaf size: 18

DSolve[D[y[x],x]==5*y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 e^{5 x} \\ y(x)\to 0 \\ \end{align*}