Internal problem ID [12548]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.2. page
33
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-2 y=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(t),t)=2*y(t)+1,y(t), singsol=all)
\[ y \left (t \right ) = -\frac {1}{2}+c_{1} {\mathrm e}^{2 t} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 24
DSolve[y'[t]==2*y[t]+1,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\frac {1}{2}+c_1 e^{2 t} y(t)\to -\frac {1}{2} \end{align*}