Internal problem ID [6417]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven
Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 4. Power Series Solutions and Special Functions. Section 4.2. Series Solutions of
First-Order Differential Equations Page 162
Problem number: 2(a) solving directly.
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),y(x), singsol=all)
\[ y \left (x \right ) = c_{1} x \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 14
DSolve[x*y'[x]==y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 x y(x)\to 0 \end{align*}