73.4.6 problem 5.1 (f)

Internal problem ID [15088]
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)
Date solved : Tuesday, January 28, 2025 at 07:30:20 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.024 (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*}