ODE
\[ \text {f0}(y(x)) y''(x)+\text {f1}(y(x)) y'(x)^2+\text {f2}(y(x)) y'(x)+\text {f3}(y(x))=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✗
cpu = 60.2224 (sec), leaf count = 0 , could not solve
DSolve[f3[y[x]] + f2[y[x]]*Derivative[1][y][x] + f1[y[x]]*Derivative[1][y][x]^2 + f0[y[x]]*Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 5.173 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[f3[y[x]] + f2[y[x]]*y'[x] + f1[y[x]]*y'[x]^2 + f0[y[x]]*y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[f3[y[x]] + f2[y[x]]*Derivative[1][y][x] + f1[y[x]]*Derivative[1][y][x]^2 + f0[y[x]]*Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(f0(y(x))*diff(diff(y(x),x),x)+f1(y(x))*diff(y(x),x)^2+f2(y(x))*diff(y(x),x)+f3(y(x)) = 0, y(x))
Maple raw output
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