Internal problem ID [898]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }+3 y-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve(diff(y(x),x) +3*y(x)=1,y(x), singsol=all)
\[ y \relax (x ) = \frac {1}{3}+{\mathrm e}^{-3 x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 24
DSolve[y'[x] +3*y[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{3}+c_1 e^{-3 x} \\ y(x)\to \frac {1}{3} \\ \end{align*}