4.43.8 \(y'''(x)+y(x) f'(x)+2 f(x) y'(x)=0\)

ODE
\[ y'''(x)+y(x) f'(x)+2 f(x) y'(x)=0 \] ODE Classification

odeadvisor timed out

Book solution method
TO DO

Mathematica
cpu = 0.202797 (sec), leaf count = 0 , could not solve

DSolve[y[x]*Derivative[1][f][x] + 2*f[x]*Derivative[1][y][x] + Derivative[3][y][x] == 0, y[x], x]

Maple
cpu = 0.334 (sec), leaf count = 0 , result contains DESol or ODESolStruc

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Mathematica raw input

DSolve[y[x]*f'[x] + 2*f[x]*y'[x] + y'''[x] == 0,y[x],x]

Mathematica raw output

DSolve[y[x]*Derivative[1][f][x] + 2*f[x]*Derivative[1][y][x] + Derivative[3][y][
x] == 0, y[x], x]

Maple raw input

dsolve(diff(diff(diff(y(x),x),x),x)+2*f(x)*diff(y(x),x)+diff(f(x),x)*y(x) = 0, y(x))

Maple raw output

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