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 : Sunday, March 30, 2025 at 11:28:11 AM
CAS classification : [_separable]

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

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

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

\[ y = 2+\frac {c_1}{x^{{5}/{3}}} \]

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

ode=3*x*D[y[x],x]+5*y[x]==10; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

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

✓ Sympy. Time used: 0.201 (sec). Leaf size: 10

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(3*x*Derivative(y(x), x) + 5*y(x) - 10,0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

\[ y{\left (x \right )} = \frac {C_{1}}{x^{\frac {5}{3}}} + 2 \]