74.1.9 problem 18

Internal problem ID [19825]
Book : Elementary Differential Equations. By Thornton C. Fry. D Van Nostrand. NY. First Edition (1929)
Section : Chapter 1. section 5. Problems at page 19
Problem number : 18
Date solved : Thursday, October 02, 2025 at 04:44:19 PM
CAS classification : [_linear]

\begin{align*} v^{\prime }+\frac {2 v}{u}&=3 \end{align*}

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

ode:=diff(v(u),u)+2*v(u)/u = 3; 
dsolve(ode,v(u), singsol=all);
 

\[ v = u +\frac {c_1}{u^{2}} \]

✓ Mathematica. Time used: 0.016 (sec). Leaf size: 13

ode=D[v[u],u]+2*v[u]/u==3; 
ic={}; 
DSolve[{ode,ic},v[u],u,IncludeSingularSolutions->True]
 

\begin{align*} v(u)&\to u+\frac {c_1}{u^2} \end{align*}

✓ Sympy. Time used: 0.086 (sec). Leaf size: 8

from sympy import * 
u = symbols("u") 
v = Function("v") 
ode = Eq(Derivative(v(u), u) - 3 + 2*v(u)/u,0) 
ics = {} 
dsolve(ode,func=v(u),ics=ics)
 

\[ v{\left (u \right )} = \frac {C_{1}}{u^{2}} + u \]