Internal problem ID [14414]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Review exercises, page 80
Problem number: 12.
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((y(x)-x)+diff(y(x),x)=0,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]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x+c_1 e^{-x}-1 \]