44.1.39 problem 41

Internal problem ID [6914]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Exercises 1.1 at page 12
Problem number : 41
Date solved : Monday, January 27, 2025 at 02:34:50 PM
CAS classification : [_separable]

\begin{align*} 3 x y^{\prime }+5 y&=10 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 11

dsolve(3*x*diff(y(x),x)+5*y(x)=10,y(x), singsol=all)
 

\[ y = 2+\frac {c_{1}}{x^{{5}/{3}}} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 20

DSolve[3*x*D[y[x],x]+5*y[x]==10,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to 2+\frac {c_1}{x^{5/3}} \\ y(x)\to 2 \\ \end{align*}