80.6.12 problem 10 (a)

Internal problem ID [18576]
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 : 10 (a)
Date solved : Tuesday, January 28, 2025 at 12:00:50 PM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

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

\[ v = 1+{\mathrm e}^{-u^{2}} c_{1} \]

✓ Solution by Mathematica

Time used: 0.050 (sec). Leaf size: 22

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

\begin{align*} v(u)\to 1+c_1 e^{-u^2} \\ v(u)\to 1 \\ \end{align*}