12.4.5 problem 5

Internal problem ID [1612]
Book : Elementary differential equations with boundary value problems. William F. Trench. Brooks/Cole 2001
Section : Chapter 2, First order equations. Existence and Uniqueness of Solutions of Nonlinear Equations. Section 2.3 Page 60
Problem number : 5
Date solved : Monday, January 27, 2025 at 05:13:56 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }&=\left (x^{2}+y^{2}\right ) y^{{1}/{3}} \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x)=(x^2+y(x)^2)*y(x)^(1/3),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x]==(x^2+y[x]^2)*y[x]^(1/3),y[x],x,IncludeSingularSolutions -> True]
 

Not solved