Internal problem ID [530]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.4. Page 76
Problem number: 19.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Bernoulli]
Solve \begin {gather*} \boxed {y^{\prime }+y \left (3-y t \right )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(diff(y(t),t) = -y(t)*(3-t*y(t)),y(t), singsol=all)
\[ y \relax (t ) = \frac {9}{1+9 c_{1} {\mathrm e}^{3 t}+3 t} \]
✓ Solution by Mathematica
Time used: 0.135 (sec). Leaf size: 28
DSolve[y'[t] == -y[t]*(3-t*y[t]),y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {9}{3 t+9 c_1 e^{3 t}+1} \\ y(t)\to 0 \\ \end{align*}