71.3.14 problem 9

Internal problem ID [14364]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number : 9
Date solved : Tuesday, January 28, 2025 at 06:27:46 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (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: 0.022 (sec). Leaf size: 14

DSolve[D[y[x],x]==y[x]/x,y[x],x,IncludeSingularSolutions -> True]
 

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