ODE
\[ f(x,y(x))+y'(x)^n=0 \] ODE Classification
[NONE]
Book solution method
Form \((y')^m + X(x,y)=0\)
Mathematica ✗
cpu = 19.3949 (sec), leaf count = 0 , could not solve
DSolve[f[x, y[x]] + Derivative[1][y][x]^n == 0, y[x], x]
Maple ✗
cpu = 0.113 (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x)^n+f(x,y(x)) = 0, y(x))
Mathematica raw input
DSolve[f[x, y[x]] + y'[x]^n == 0,y[x],x]
Mathematica raw output
DSolve[f[x, y[x]] + Derivative[1][y][x]^n == 0, y[x], x]
Maple raw input
dsolve(diff(y(x),x)^n+f(x,y(x)) = 0, y(x))
Maple raw output
dsolve(diff(y(x),x)^n+f(x,y(x)) = 0, y(x))