44.3.9 problem 17 (b)

Internal problem ID [6990]
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 : 17 (b)
Date solved : Monday, January 27, 2025 at 02:40:00 PM
CAS classification : [_separable]

\begin{align*} 3 x y^{\prime }-2 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 9

dsolve(3*x*diff(y(x),x)-2*y(x)=0,y(x), singsol=all)
 

\[ y = c_{1} x^{{2}/{3}} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 18

DSolve[3*x*D[y[x],x]-2*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 x^{2/3} \\ y(x)\to 0 \\ \end{align*}