80.6.7 problem 9 (a)

Internal problem ID [18571]
Book : Elementary Differential Equations. By Thornton C. Fry. D Van Nostrand. NY. First Edition (1929)
Section : Chapter IV. Methods of solution: First order equations. section 33. Problems at page 91
Problem number : 9 (a)
Date solved : Tuesday, January 28, 2025 at 12:00:39 PM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 13

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

\[ v = \frac {c_{1} {\mathrm e}^{3 u}}{u^{2}} \]

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 21

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

\begin{align*} v(u)\to \frac {c_1 e^{3 u}}{u^2} \\ v(u)\to 0 \\ \end{align*}