44.1.32 problem 34

Internal problem ID [6907]
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 : 34
Date solved : Monday, January 27, 2025 at 02:34:41 PM
CAS classification : [_quadrature]

\begin{align*} 5 y^{\prime }&=2 y \end{align*}

✓ Solution by Maple

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

dsolve(5*diff(y(x),x)=2*y(x),y(x), singsol=all)
 

\[ y = c_{1} {\mathrm e}^{\frac {2 x}{5}} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 20

DSolve[5*D[y[x],x]==2*y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 e^{2 x/5} \\ y(x)\to 0 \\ \end{align*}