Internal problem ID [5167]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1.3 Introduction– Linear equations of First Order. Page 38
Problem number: 3(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }+5 y-2=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)+5*y(x)=2,y(x), singsol=all)
\[ y \relax (x ) = \frac {2}{5}+{\mathrm e}^{-5 x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 24
DSolve[y'[x]+5*y[x]==2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {2}{5}+c_1 e^{-5 x} \\ y(x)\to \frac {2}{5} \\ \end{align*}