73.3.42 problem 4.8 (a)

Internal problem ID [15076]
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 : 4.8 (a)
Date solved : Tuesday, January 28, 2025 at 07:29:50 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }-2 y&=-10 \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=8 \end{align*}

✓ Solution by Maple

Time used: 0.010 (sec). Leaf size: 12

dsolve([diff(y(x),x)-2*y(x)=-10,y(0) = 8],y(x), singsol=all)
 

\[ y = 5+3 \,{\mathrm e}^{2 x} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 14

DSolve[{D[y[x],x]-2*y[x]==-10,{y[0]==8}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 3 e^{2 x}+5 \]