73.3.5 problem 4.3 (e)

Internal problem ID [15039]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page 90
Problem number : 4.3 (e)
Date solved : Tuesday, January 28, 2025 at 07:28:16 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }+4 y&=8 \end{align*}

✓ Solution by Maple

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

dsolve(diff(y(x),x)+4*y(x)=8,y(x), singsol=all)
 

\[ y = 2+c_{1} {\mathrm e}^{-4 x} \]

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 20

DSolve[D[y[x],x]+4*y[x]==8,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to 2+c_1 e^{-4 x} \\ y(x)\to 2 \\ \end{align*}