15.11 problem 419

Internal problem ID [3165]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 15
Problem number: 419.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_rational, [_Abel, 2nd type, class A]]

Solve \begin {gather*} \boxed {y y^{\prime }+x^{3}+y=0} \end {gather*}

Solution by Maple

dsolve(y(x)*diff(y(x),x)+x^3+y(x) = 0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[y[x] y'[x]+x^3+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved