Internal problem ID [526]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.4. Page 76
Problem number: 15.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{3}+y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.004 (sec). Leaf size: 23
dsolve(y(t)^3+diff(y(t),t) = 0,y(t), singsol=all)
\begin{align*} y \relax (t ) = \frac {1}{\sqrt {2 t +c_{1}}} \\ y \relax (t ) = -\frac {1}{\sqrt {2 t +c_{1}}} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.13 (sec). Leaf size: 40
DSolve[y[t]^3+y'[t] == 0,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\frac {1}{\sqrt {2 t-2 c_1}} \\ y(t)\to \frac {1}{\sqrt {2 t-2 c_1}} \\ y(t)\to 0 \\ \end{align*}