Internal problem ID [2082]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 1, First-Order Differential Equations. Section 1.2, Basic Ideas and Terminology. page
21
Problem number: Problem 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {y}{2 x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 9
dsolve(diff(y(x),x)=y(x)/(2*x),y(x), singsol=all)
\[ y \relax (x ) = c_{1} \sqrt {x} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 18
DSolve[y'[x]==y[x]/(2*x),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \sqrt {x} \\ y(x)\to 0 \\ \end{align*}