ODE
\[ y''(x) X(x,y(x))^3=1 \] ODE Classification
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Book solution method
TO DO
Mathematica ✗
cpu = 9.90909 (sec), leaf count = 0 , could not solve
DSolve[X[x, y[x]]^3*Derivative[2][y][x] == 1, y[x], x]
Maple ✗
cpu = 0.006 (sec), leaf count = 0 , could not solve
dsolve(X(x,y(x))^3*diff(diff(y(x),x),x) = 1, y(x))
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))
Maple raw output
dsolve(X(x,y(x))^3*diff(diff(y(x),x),x) = 1, y(x))