Internal problem ID [14250]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 21.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(x),x)-x=y(x),y(x), singsol=all)
\[ y \left (x \right ) = -x -1+c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 16
DSolve[y'[x]-x==y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -x+c_1 e^x-1 \]