12.2.4 problem 4

Internal problem ID [1540]
Book : Elementary differential equations with boundary value problems. William F. Trench. Brooks/Cole 2001
Section : Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
Problem number : 4
Date solved : Monday, January 27, 2025 at 04:59:19 AM
CAS classification : [_separable]

\begin{align*} x y^{\prime }+3 y&=0 \end{align*}

✓ Solution by Maple

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

dsolve(x*diff(y(x),x) + 3*y(x)=0,y(x), singsol=all)
 

\[ y = \frac {c_1}{x^{3}} \]

✓ Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 16

DSolve[x*D[y[x],x] +3*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {c_1}{x^3} \\ y(x)\to 0 \\ \end{align*}