4.36.49 $y^{″}(x)=(\text{f1}(x)-2y(x))y^{\prime }(x)+\text{f2}(x)y(x{)}^2+\text{f3}(x)y(x)+\text{f4}(x)$

ODE
$$y^{″}(x)=(\text{f1}(x)-2y(x))y^{\prime }(x)+\text{f2}(x)y(x{)}^2+\text{f3}(x)y(x)+\text{f4}(x)$$ ODE Classification

[NONE]

Book solution method
TO DO

Mathematica ✗
cpu = 0.348023 (sec), leaf count = 0 , could not solve

DSolve[Derivative[2][y][x] == f4[x] + f3[x]*y[x] + f2[x]*y[x]^2 + (f1[x] - 2*y[x])*Derivative[1][y][x], y[x], x]

Maple ✗
cpu = 0.428 (sec), leaf count = 0 , could not solve

dsolve(diff(diff(y(x),x),x) = (f1(x)-2*y(x))*diff(y(x),x)+f2(x)*y(x)^2+f3(x)*y(x)+f4(x), y(x),'implicit')

Mathematica raw input

DSolve[y''[x] == f4[x] + f3[x]*y[x] + f2[x]*y[x]^2 + (f1[x] - 2*y[x])*y'[x],y[x],x]

Mathematica raw output

DSolve[Derivative[2][y][x] == f4[x] + f3[x]*y[x] + f2[x]*y[x]^2 + (f1[x] - 2*y[x
])*Derivative[1][y][x], y[x], x]

Maple raw input

dsolve(diff(diff(y(x),x),x) = (f1(x)-2*y(x))*diff(y(x),x)+f2(x)*y(x)^2+f3(x)*y(x)+f4(x), y(x),'implicit')

Maple raw output

dsolve(diff(diff(y(x),x),x) = (f1(x)-2*y(x))*diff(y(x),x)+f2(x)*y(x)^2+f3(x)*y(x
)+f4(x), y(x),'implicit')