49.1.9 problem 3(a)

Internal problem ID [7588]
Book : An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY 1961
Section : Chapter 1.3 Introduction– Linear equations of First Order. Page 38
Problem number : 3(a)
Date solved : Monday, January 27, 2025 at 03:06:49 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 24

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

\begin{align*} y(x)\to \frac {2}{5}+c_1 e^{-5 x} \\ y(x)\to \frac {2}{5} \\ \end{align*}