Internal problem ID [12282]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 1. Introduction. Exercises 1.3, page 27
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-3 y^{\frac {2}{3}}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x)=3*y(x)^(2/3),y(x), singsol=all)
\[ y \left (x \right )^{\frac {1}{3}}-c_{1} -x = 0 \]
✓ Solution by Mathematica
Time used: 0.166 (sec). Leaf size: 22
DSolve[y'[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*}