47.1.8 problem 8

Internal problem ID [7389]
Book : Ordinary differential equations and calculus of variations. Makarets and Reshetnyak. Wold Scientific. Singapore. 1995
Section : Chapter 1. First order differential equations. Section 1.1 Separable equations problems. page 7
Problem number : 8
Date solved : Monday, January 27, 2025 at 02:51:45 PM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (2\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 5

dsolve([diff(y(x),x)=3*y(x)^(2/3),y(2) = 0],y(x), singsol=all)
 

\[ y = 0 \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 6

DSolve[{D[y[x],x]==3*y[x]^(2/3),{y[2]==0}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 0 \]