Internal problem ID [12865]
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: 1.
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: 0.045 (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*}