72.1.4 problem 7

Internal problem ID [14604]
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
Date solved : Tuesday, January 28, 2025 at 06:44:15 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=2 y+1 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

dsolve(diff(y(t),t)=2*y(t)+1,y(t), singsol=all)
 

\[ y = -\frac {1}{2}+c_{1} {\mathrm e}^{2 t} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 24

DSolve[D[y[t],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*}