74.5.1 problem 1

Internal problem ID [15965]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number : 1
Date solved : Tuesday, January 28, 2025 at 08:24:59 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }-y&=10 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

dsolve(diff(y(t),t)-y(t)=10,y(t), singsol=all)
 

\[ y = -10+c_{1} {\mathrm e}^{t} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 18

DSolve[D[y[t],t]-y[t]==10,y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to -10+c_1 e^t \\ y(t)\to -10 \\ \end{align*}