Internal problem ID [12974]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {\left (x -2\right ) y^{\prime }-y=3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve((x-2)*diff(y(x),x)=y(x)+3,y(x), singsol=all)
\[ y = -3+\left (x -2\right ) c_{1} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 18
DSolve[(x-2)*y'[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*}