12.2.5 problem 5

Internal problem ID [1541]
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 : 5
Date solved : Monday, January 27, 2025 at 04:59:21 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

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

\[ y = c_1 \,{\mathrm e}^{\frac {1}{x}} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 18

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

\begin{align*} y(x)\to c_1 e^{\frac {1}{x}} \\ y(x)\to 0 \\ \end{align*}