8.8 problem 21

Internal problem ID [13036]

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. Review Exercises for chapter 1. page 136
Problem number: 21.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }+2 y=3} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 12

dsolve(diff(y(t),t)= 3-2*y(t),y(t), singsol=all)
 

\[ y \left (t \right ) = \frac {3}{2}+{\mathrm e}^{-2 t} c_{1} \]

Solution by Mathematica

Time used: 0.041 (sec). Leaf size: 24

DSolve[y'[t]==3-2*y[t],y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to \frac {3}{2}+c_1 e^{-2 t} \\ y(t)\to \frac {3}{2} \\ \end{align*}