Internal problem ID [4454]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson
2018.
Section: Chapter 2, First order differential equations. Section 2.3, Linear equations. Exercises. page
54
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, 2nd type, class C]]
Solve \begin {gather*} \boxed {y y^{\prime }+2 x -5 y^{3}=0} \end {gather*}
✗ Solution by Maple
dsolve(y(x)*diff(y(x),x)+2*x=5*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]*y'[x]+2*x==5*y[x]^3,y[x],x,IncludeSingularSolutions -> True]
Not solved