32.4.6 problem Recognizable Exact Differential equations. Integrating factors. Example 10.781, page 90

Internal problem ID [5817]
Book : Ordinary Differential Equations, By Tenenbaum and Pollard. Dover, NY 1963
Section : Chapter 2. Special types of differential equations of the first kind. Lesson 10
Problem number : Recognizable Exact Differential equations. Integrating factors. Example 10.781, page 90
Date solved : Monday, January 27, 2025 at 01:19:57 PM
CAS classification : [_separable]

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

✓ Solution by Maple

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

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

\[ y \left (x \right ) = c_{1} x^{3} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 16

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

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