5.1 problem 1

Internal problem ID [14230]

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.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }-y=10} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 10

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

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

Solution by Mathematica

Time used: 0.032 (sec). Leaf size: 18

DSolve[y'[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*}