Internal problem ID [12311]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_Abel]
\[ \boxed {y^{\prime }-y^{3}=x^{3}} \]
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y'[x]==x^3+y[x]^3,y[x],x,IncludeSingularSolutions -> True]
Not solved