50.1.2 problem 1(b)

Internal problem ID [7774]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 1. What is a differential equation. Section 1.2 THE NATURE OF SOLUTIONS. Page 9
Problem number : 1(b)
Date solved : Monday, January 27, 2025 at 03:21:40 PM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 9

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

\[ y = c_{1} x^{2} \]

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 16

DSolve[x*D[y[x],x]==2*y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 x^2 \\ y(x)\to 0 \\ \end{align*}