80.1.9 problem 18

Internal problem ID [18539]
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 : Tuesday, January 28, 2025 at 11:54:42 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 11

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

\[ v = u +\frac {c_{1}}{u^{2}} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 13

DSolve[D[v[u],u]+2*v[u]/u==3,v[u],u,IncludeSingularSolutions -> True]
 

\[ v(u)\to u+\frac {c_1}{u^2} \]