Internal problem ID [5170]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1.6 Introduction– Linear equations of First Order. Page 41
Problem number: 1(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {-2 y+y^{\prime }-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 12
dsolve(diff(y(x),x)-2*y(x)=1,y(x), singsol=all)
\[ y \relax (x ) = -\frac {1}{2}+{\mathrm e}^{2 x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 24
DSolve[y'[x]-2*y[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {1}{2}+c_1 e^{2 x} \\ y(x)\to -\frac {1}{2} \\ \end{align*}