1.2 problem 16

Internal problem ID [12575]

Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 1. Introduction. Exercises page 14
Problem number: 16.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_separable]

\[ \boxed {y^{\prime } x -y=0} \]

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 7

dsolve(x*diff(y(x),x)-y(x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = c_{1} x \]

✓ Solution by Mathematica

Time used: 0.036 (sec). Leaf size: 14

DSolve[x*y'[x]-y[x]==0,y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\begin{align*} y(x)\to c_1 x \\ y(x)\to 0 \\ \end{align*}