44.3.4 problem 10

Internal problem ID [6985]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Review problems at page 34
Problem number : 10
Date solved : Monday, January 27, 2025 at 02:39:50 PM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.000 (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: 0.020 (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*}