Internal problem ID [13846]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {y+1}{t +1}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(diff(y(t),t)=(y(t)+1)/(t+1),y(t), singsol=all)
\[ y = -1+\left (t +1\right ) c_{1} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 18
DSolve[y'[t]==(y[t]+1)/(t+1),y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -1+c_1 (t+1) y(t)\to -1 \end{align*}