73.4.21 problem 5.3 (a)

Internal problem ID [15103]
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 : 5.3 (a)
Date solved : Tuesday, January 28, 2025 at 07:30:51 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }-3 y&=6 \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=5 \end{align*}

✓ Solution by Maple

Time used: 0.011 (sec). Leaf size: 12

dsolve([diff(y(x),x)-3*y(x)=6,y(0) = 5],y(x), singsol=all)
 

\[ y = -2+7 \,{\mathrm e}^{3 x} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 14

DSolve[{D[y[x],x]-3*y[x]==6,{y[0]==5}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 7 e^{3 x}-2 \]