15.1.4 problem 4

Internal problem ID [2844]
Book : Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section : Exercise 5, page 21
Problem number : 4
Date solved : Monday, January 27, 2025 at 06:19:40 AM
CAS classification : [_separable]

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

✓ Solution by Maple

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

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

\[ y = \frac {c_1}{x} \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 16

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

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