44.6.4 problem 4

Internal problem ID [7148]
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 : 4
Date solved : Tuesday, February 04, 2025 at 12:39:54 AM
CAS classification : [_quadrature]

\begin{align*} 3 y^{\prime }+12 y&=4 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

dsolve(3*diff(y(x),x)+12*y(x)=4,y(x), singsol=all)
 

\[ y = \frac {1}{3}+c_1 \,{\mathrm e}^{-4 x} \]

✓ Solution by Mathematica

Time used: 0.035 (sec). Leaf size: 24

DSolve[D[y[x],x]+12*y[x]==4,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {1}{3}+c_1 e^{-12 x} \\ y(x)\to \frac {1}{3} \\ \end{align*}