12.2.12 problem 12

Internal problem ID [1548]
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
Date solved : Monday, January 27, 2025 at 04:59:38 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }+3 y&=1 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

dsolve(diff(y(x),x) +3*y(x)=1,y(x), singsol=all)
 

\[ y = \frac {1}{3}+c_1 \,{\mathrm e}^{-3 x} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 24

DSolve[D[y[x],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*}