Internal problem ID [3964]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {3 y-y^{\prime } x=0} \]
✓ Solution by Maple
Time used: 0.0 (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: 0.022 (sec). Leaf size: 16
DSolve[(3*y[x])-(x)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 x^3 \\ y(x)\to 0 \\ \end{align*}