25.1.7 problem 7

Internal problem ID [4219]
Book : Advanced Mathematica, Book2, Perkin and Perkin, 1992
Section : Chapter 11.3, page 316
Problem number : 7
Date solved : Monday, January 27, 2025 at 08:42:43 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 7

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

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

✓ Solution by Mathematica

Time used: 0.024 (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*}