71.8.11 problem 6 (a)

Internal problem ID [14445]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 2. The Initial Value Problem. Exercises 2.4.4, page 115
Problem number : 6 (a)
Date solved : Tuesday, January 28, 2025 at 06:31:21 AM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (-1\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.017 (sec). Leaf size: 11

dsolve([diff(y(x),x)=y(x)^3,y(-1) = 1],y(x), singsol=all)
 

\[ y = \frac {1}{\sqrt {-2 x -1}} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 14

DSolve[{D[y[x],x]==y[x]^3,{y[-1]==1}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{\sqrt {-2 x-1}} \]