ODE
\[ y'(x) (\text {g0}(x)+\text {g1}(x) y(x))=\text {f0}(x)+\text {f1}(x) y(x)+\text {f2}(x) y(x)^2+\text {f3}(x) y(x)^3 \] ODE Classification
[[_Abel, `2nd type`, `class C`]]
Book solution method
Abel ODE, Second kind
Mathematica ✗
cpu = 911.677 (sec), leaf count = 0 , timed out
$Aborted
Maple ✗
cpu = 4.27 (sec), leaf count = 0 , could not solve
dsolve((g0(x)+y(x)*g1(x))*diff(y(x),x) = f0(x)+f1(x)*y(x)+f2(x)*y(x)^2+f3(x)*y(x)^3, y(x),'implicit')
Mathematica raw input
DSolve[(g0[x] + g1[x]*y[x])*y'[x] == f0[x] + f1[x]*y[x] + f2[x]*y[x]^2 + f3[x]*y[x]^3,y[x],x]
Mathematica raw output
$Aborted
Maple raw input
dsolve((g0(x)+y(x)*g1(x))*diff(y(x),x) = f0(x)+f1(x)*y(x)+f2(x)*y(x)^2+f3(x)*y(x)^3, y(x),'implicit')
Maple raw output
dsolve((g0(x)+y(x)*g1(x))*diff(y(x),x) = f0(x)+f1(x)*y(x)+f2(x)*y(x)^2+f3(x)*y(x)^3, y(x),'implicit')