ODE
\[ y''(x)=(3 \text {f1}(x)-y(x)) y'(x)+\text {f1}(x) y(x)^2+\text {f2}(x)+\text {f3}(x) y(x)+y(x)^3 \] ODE Classification
[NONE]
Book solution method
TO DO
Mathematica ✗
cpu = 0.403089 (sec), leaf count = 0 , could not solve
DSolve[Derivative[2][y][x] == f2[x] + f3[x]*y[x] + f1[x]*y[x]^2 + y[x]^3 + (3*f1[x] - y[x])*Derivative[1][y][x], y[x], x]
Maple ✗
cpu = 0.371 (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x) = (3*f1(x)-y(x))*diff(y(x),x)+f2(x)+f3(x)*y(x)+f1(x)*y(x)^2+y(x)^3, y(x),'implicit')
Mathematica raw input
DSolve[y''[x] == f2[x] + f3[x]*y[x] + f1[x]*y[x]^2 + y[x]^3 + (3*f1[x] - y[x])*y'[x],y[x],x]
Mathematica raw output
DSolve[Derivative[2][y][x] == f2[x] + f3[x]*y[x] + f1[x]*y[x]^2 + y[x]^3 + (3*f1[x] - y[x])*Derivative[1][y][x], y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x) = (3*f1(x)-y(x))*diff(y(x),x)+f2(x)+f3(x)*y(x)+f1(x)*y(x)^2+y(x)^3, y(x),'implicit')
Maple raw output
dsolve(diff(diff(y(x),x),x) = (3*f1(x)-y(x))*diff(y(x),x)+f2(x)+f3(x)*y(x)+f1(x)*y(x)^2+y(x)^3, y(x),'implicit')