44.6.10 problem 10

Internal problem ID [7154]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 2. First order differential equations. Section 2.3 Linear equations. Exercises 2.3 at page 63
Problem number : 10
Date solved : Tuesday, February 04, 2025 at 12:40:34 AM
CAS classification : [_separable]

\begin{align*} x y^{\prime }+2 y&=3 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

dsolve(x*diff(y(x),x)+2*y(x)=3,y(x), singsol=all)
 

\[ y = \frac {3}{2}+\frac {c_1}{x^{2}} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 22

DSolve[x*D[y[x],x]+2*y[x]==3,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {3}{2}+\frac {c_1}{x^2} \\ y(x)\to \frac {3}{2} \\ \end{align*}