Internal problem ID [12632]
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: 1 and 13 (ii).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-3 y \left (-2+y\right )=0} \] With initial conditions \begin {align*} [y \left (-2\right ) = -1] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 18
dsolve([diff(y(t),t)=3*y(t)*(y(t)-2),y(-2) = -1],y(t), singsol=all)
\[ y \left (t \right ) = -\frac {2}{3 \,{\mathrm e}^{6 t +12}-1} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 20
DSolve[{y'[t]==3*y[t]*(y[t]-2),{y[-2]==-1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {2}{1-3 e^{6 (t+2)}} \]