71.3.17 problem 12

Internal problem ID [14367]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number : 12
Date solved : Tuesday, January 28, 2025 at 06:27:51 AM
CAS classification : [_Abel]

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

Solution by Maple

dsolve(diff(y(x),x)=x^3+y(x)^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^3+y[x]^3,y[x],x,IncludeSingularSolutions -> True]
 

Not solved