Internal problem ID [13352]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 5. LINEAR FIRST ORDER EQUATIONS. Additional exercises. page
103
Problem number: 5.1 (f).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-4 y=8} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve(diff(y(x),x)=4*y(x)+8,y(x), singsol=all)
\[ y \left (x \right ) = -2+c_{1} {\mathrm e}^{4 x} \]
✓ Solution by Mathematica
Time used: 0.032 (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*}