Internal problem ID [14166]
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]
\[ \boxed {y^{\prime }-\frac {y+1}{1+t}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(y(t),t)=(y(t)+1)/(t+1),y(t), singsol=all)
\[ y \left (t \right ) = c_{1} t +c_{1} -1 \]
✓ 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*}