4.41.44 \(y''(x) X(x,y(x))^3=1\)

ODE
\[ y''(x) X(x,y(x))^3=1 \] ODE Classification

[NONE]

Book solution method
TO DO

Mathematica
cpu = 44.8491 (sec), leaf count = 0 , could not solve

DSolve[X[x, y[x]]^3*Derivative[2][y][x] == 1, y[x], x]

Maple
cpu = 0.003 (sec), leaf count = 0 , could not solve

dsolve(X(x,y(x))^3*diff(diff(y(x),x),x) = 1, y(x),'implicit')

Mathematica raw input

DSolve[X[x, y[x]]^3*y''[x] == 1,y[x],x]

Mathematica raw output

DSolve[X[x, y[x]]^3*Derivative[2][y][x] == 1, y[x], x]

Maple raw input

dsolve(X(x,y(x))^3*diff(diff(y(x),x),x) = 1, y(x),'implicit')

Maple raw output

dsolve(X(x,y(x))^3*diff(diff(y(x),x),x) = 1, y(x),'implicit')