1.1 problem 1

Internal problem ID [2625]

Book: An introduction to the solution and applications of differential equations, J.W. Searl, 1966
Section: Chapter 4, Ex. 4.1
Problem number: 1.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_separable]

Solve \begin {gather*} \boxed {2 y x +y^{\prime } x^{2}=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 9

dsolve(2*x*y(x)+x^2*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y \relax (x ) = \frac {c_{1}}{x^{2}} \]

Solution by Mathematica

Time used: 0.039 (sec). Leaf size: 16

DSolve[2*x*y[x]+x^2*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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