71.2.6 problem 6

Internal problem ID [14338]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 1. Introduction. Exercises 1.3, page 27
Problem number : 6
Date solved : Tuesday, January 28, 2025 at 06:27:00 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=3 y^{{2}/{3}} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

dsolve(diff(y(x),x)=3*y(x)^(2/3),y(x), singsol=all)
 

\[ y^{{1}/{3}}-x -c_{1} = 0 \]

✓ Solution by Mathematica

Time used: 0.106 (sec). Leaf size: 22

DSolve[D[y[x],x]==3*y[x]^(2/3),y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {1}{27} (3 x+c_1){}^3 \\ y(x)\to 0 \\ \end{align*}