10.3.11 problem 15

Internal problem ID [1176]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.4. Page 76
Problem number : 15
Date solved : Monday, January 27, 2025 at 04:39:25 AM
CAS classification : [_quadrature]

\begin{align*} y^{3}+y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 23

dsolve(y(t)^3+diff(y(t),t) = 0,y(t), singsol=all)
 

\begin{align*} y &= \frac {1}{\sqrt {2 t +c_1}} \\ y &= -\frac {1}{\sqrt {2 t +c_1}} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.122 (sec). Leaf size: 40

DSolve[y[t]^3+D[y[t],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*}