Internal problem ID [12869]
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: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+y=2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(t),t)=2-y(t),y(t), singsol=all)
\[ y \left (t \right ) = 2+{\mathrm e}^{-t} c_{1} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 20
DSolve[y'[t]==2-y[t],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 2+c_1 e^{-t} \\ y(t)\to 2 \\ \end{align*}