44.5.3 problem 3

Internal problem ID [7065]
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 : 3
Date solved : Monday, January 27, 2025 at 02:46:38 PM
CAS classification : [_quadrature]

\begin{align*} 1+{\mathrm e}^{3 x} y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(1+exp(3*x)*diff(y(x),x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.009 (sec). Leaf size: 13

DSolve[1+Exp[x]*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{-x}+c_1 \]