50.8.1 problem 1(a)

Internal problem ID [7917]
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)
Date solved : Monday, January 27, 2025 at 03:32:13 PM
CAS classification : [_linear]

\begin{align*} x y^{\prime }+y&=x \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 13

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

\[ y = \frac {x}{2}+\frac {c_{1}}{x} \]

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 17

DSolve[x*D[y[x],x]+y[x]==x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x}{2}+\frac {c_1}{x} \]