Internal problem ID [6249]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven
Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Problems for Review and Discovery. Page
53
Problem number: 1(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y+y^{\prime } x=x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(x*diff(y(x),x)+y(x)=x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x}{2}+\frac {c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 17
DSolve[x*y'[x]+y[x]==x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x}{2}+\frac {c_1}{x} \]