44.1.12 problem 14

Internal problem ID [6887]
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 : 14
Date solved : Monday, January 27, 2025 at 02:34:00 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }+20 y&=24 \end{align*}

✓ Solution by Maple

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

dsolve(diff(y(t),t)+20*y(t)=24,y(t), singsol=all)
 

\[ y = \frac {6}{5}+{\mathrm e}^{-20 t} c_{1} \]

✓ Solution by Mathematica

Time used: 0.043 (sec). Leaf size: 24

DSolve[D[y[t],t]+20*y[t]==24,y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to \frac {6}{5}+c_1 e^{-20 t} \\ y(t)\to \frac {6}{5} \\ \end{align*}