Internal problem ID [1957]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-6, page 7
Problem number: 1.1-6 (d).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-1+y^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.006 (sec). Leaf size: 8
dsolve(diff(y(t),t)=1-y(t)^2,y(t), singsol=all)
\[ y \relax (t ) = \tanh \left (t +c_{1}\right ) \]
✓ Solution by Mathematica
Time used: 0.66 (sec). Leaf size: 22
DSolve[y'[t]==1-y[t]^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \tanh (t-c_1) \\ y(t)\to -1 \\ y(t)\to 1 \\ \end{align*}