Internal problem ID [13042]
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. Review Exercises for chapter 1. page
136
Problem number: 27.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-y^{2}=3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(t),t)= 3+y(t)^2,y(t), singsol=all)
\[ y \left (t \right ) = \sqrt {3}\, \tan \left (\left (t +c_{1} \right ) \sqrt {3}\right ) \]
✓ Solution by Mathematica
Time used: 0.256 (sec). Leaf size: 48
DSolve[y'[t]==3+y[t]^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \sqrt {3} \tan \left (\sqrt {3} (t+c_1)\right ) \\ y(t)\to -i \sqrt {3} \\ y(t)\to i \sqrt {3} \\ \end{align*}