4.9.22 \(x^3+y(x) y'(x)+y(x)=0\)

ODE
\[ x^3+y(x) y'(x)+y(x)=0 \] ODE Classification

[_rational, [_Abel, `2nd type``class A`]]

Book solution method
Abel ODE, Second kind

Mathematica
cpu = 3.33664 (sec), leaf count = 0 , could not solve

DSolve[x^3 + y[x] + y[x]*Derivative[1][y][x] == 0, y[x], x]

Maple
cpu = 1.775 (sec), leaf count = 0 , could not solve

dsolve(y(x)*diff(y(x),x)+x^3+y(x) = 0, y(x),'implicit')

Mathematica raw input

DSolve[x^3 + y[x] + y[x]*y'[x] == 0,y[x],x]

Mathematica raw output

DSolve[x^3 + y[x] + y[x]*Derivative[1][y][x] == 0, y[x], x]

Maple raw input

dsolve(y(x)*diff(y(x),x)+x^3+y(x) = 0, y(x),'implicit')

Maple raw output

dsolve(y(x)*diff(y(x),x)+x^3+y(x) = 0, y(x),'implicit')