35.9.6 problem 3, using elementary method

Internal problem ID [6241]
Book : Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley. 2006
Section : Chapter 12, Series Solutions of Differential Equations. Section 1. Miscellaneous problems. page 564
Problem number : 3, using elementary method
Date solved : Monday, January 27, 2025 at 01:49:51 PM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 7

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

\[ y = c_{1} x \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 14

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

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