Internal problem ID [3966]
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
10.81, page 90.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y-3 y^{\prime } x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve((y(x))-(3*x)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} x^{\frac {1}{3}} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 18
DSolve[(y[x])-(3*x)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \sqrt [3]{x} \\ y(x)\to 0 \\ \end{align*}