71.1.9 problem 23

Internal problem ID [14318]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 1. Introduction. Exercises page 14
Problem number : 23
Date solved : Tuesday, January 28, 2025 at 06:26:28 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 9

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

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

✓ Solution by Mathematica

Time used: 0.040 (sec). Leaf size: 16

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

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