Internal problem ID [12650]
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 1.6 page 89
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {v^{\prime }+v^{2}+2 v=-2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(v(t),t)=-v(t)^2-2*v(t)-2,v(t), singsol=all)
\[ v \left (t \right ) = -1-\tan \left (t +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.699 (sec). Leaf size: 30
DSolve[v'[t]==-v[t]^2-2*v[t]-2,v[t],t,IncludeSingularSolutions -> True]
\begin{align*} v(t)\to -1-\tan (t-c_1) v(t)\to -1-i v(t)\to -1+i \end{align*}