73.2.7 problem 3.4 g

Internal problem ID [15030]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 3. Some basics about First order equations. Additional exercises. page 63
Problem number : 3.4 g
Date solved : Tuesday, January 28, 2025 at 07:27:58 AM
CAS classification : [_separable]

\begin{align*} \left (x -2\right ) y^{\prime }&=y+3 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 11

dsolve((x-2)*diff(y(x),x)=y(x)+3,y(x), singsol=all)
 

\[ y = -3+c_{1} \left (x -2\right ) \]

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 18

DSolve[(x-2)*D[y[x],x]==y[x]+3,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -3+c_1 (x-2) \\ y(x)\to -3 \\ \end{align*}