3.17 problem 12

Internal problem ID [12631]

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