ODE
\[ y'(x)=\text {f0}(x)+\text {f1}(x) y(x)+\text {f2}(x) y(x)^2+\text {f3}(x) y(x)^3 \] ODE Classification
[_Abel]
Book solution method
Abel ODE, First kind
Mathematica ✗
cpu = 72.0046 (sec), leaf count = 0 , could not solve
DSolve[Derivative[1][y][x] == f0[x] + f1[x]*y[x] + f2[x]*y[x]^2 + f3[x]*y[x]^3, y[x], x]
Maple ✗
cpu = 0.391 (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x) = f0(x)+f1(x)*y(x)+f2(x)*y(x)^2+f3(x)*y(x)^3, y(x))
Mathematica raw input
DSolve[y'[x] == f0[x] + f1[x]*y[x] + f2[x]*y[x]^2 + f3[x]*y[x]^3,y[x],x]
Mathematica raw output
DSolve[Derivative[1][y][x] == f0[x] + f1[x]*y[x] + f2[x]*y[x]^2 + f3[x]*y[x]^3, y[x], x]
Maple raw input
dsolve(diff(y(x),x) = f0(x)+f1(x)*y(x)+f2(x)*y(x)^2+f3(x)*y(x)^3, y(x))
Maple raw output
dsolve(diff(y(x),x) = f0(x)+f1(x)*y(x)+f2(x)*y(x)^2+f3(x)*y(x)^3, y(x))