Internal problem ID [14227]
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: 66.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-16 y+8 y^{2}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve(diff(y(t),t)=16*y(t)-8*y(t)^2,y(t), singsol=all)
\[ y \left (t \right ) = \frac {2}{1+2 \,{\mathrm e}^{-16 t} c_{1}} \]
✓ Solution by Mathematica
Time used: 0.278 (sec). Leaf size: 36
DSolve[y'[t]==16*y[t]-8*y[t]^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {2 e^{16 t}}{e^{16 t}+e^{2 c_1}} \\ y(t)\to 0 \\ y(t)\to 2 \\ \end{align*}