1.41 problem 41

Internal problem ID [6604]

Book: First order enumerated odes
Section: section 1
Problem number: 41.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {y^{\prime } x y=0} \end {gather*}

Solution by Maple

Time used: 0.015 (sec). Leaf size: 9

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

\begin{align*} y \relax (x ) = 0 \\ y \relax (x ) = c_{1} \\ \end{align*}

Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 12

DSolve[x*y[x]*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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