ODE
\[ f(y(x)) y'(x)+g(y(x)) y'(x)^2+h(y(x))+y''(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✗
cpu = 44.0866 (sec), leaf count = 0 , could not solve
DSolve[h[y[x]] + f[y[x]]*Derivative[1][y][x] + g[y[x]]*Derivative[1][y][x]^2 + Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 1.912 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[h[y[x]] + f[y[x]]*y'[x] + g[y[x]]*y'[x]^2 + y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[h[y[x]] + f[y[x]]*Derivative[1][y][x] + g[y[x]]*Derivative[1][y][x]^2 + Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x)+g(y(x))*diff(y(x),x)^2+f(y(x))*diff(y(x),x)+h(y(x)) = 0, y(x))
Maple raw output
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