Internal problem ID [13303]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+4 y=8} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)+4*y(x)=8,y(x), singsol=all)
\[ y \left (x \right ) = 2+{\mathrm e}^{-4 x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 20
DSolve[y'[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*}