Internal problem ID [13009]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page
90
Problem number: 4.7 (e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {y}{x}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve(diff(y(x),x)=y(x)/x,y(x), singsol=all)
\[ y = c_{1} x \]
✓ Solution by Mathematica
Time used: 0.019 (sec). Leaf size: 14
DSolve[y'[x]==y[x]/x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 x y(x)\to 0 \end{align*}