20.1.5 problem Problem 11

Internal problem ID [3562]
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
Date solved : Monday, January 27, 2025 at 07:44:03 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=\frac {y}{2 x} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 9

dsolve(diff(y(x),x)=y(x)/(2*x),y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 18

DSolve[D[y[x],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*}