27.1.1 problem 1

Internal problem ID [4295]
Book : An introduction to the solution and applications of differential equations, J.W. Searl, 1966
Section : Chapter 4, Ex. 4.1
Problem number : 1
Date solved : Monday, January 27, 2025 at 08:50:06 AM
CAS classification : [_separable]

\begin{align*} 2 y x +x^{2} y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 9

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

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

✓ Solution by Mathematica

Time used: 0.037 (sec). Leaf size: 16

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

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