ODE
\[ y''(x)=y(x) f\left (x,\frac {y'(x)}{y(x)}\right ) \] ODE Classification
[[_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 8.14979 (sec), leaf count = 0 , could not solve
DSolve[Derivative[2][y][x] == f[x, Derivative[1][y][x]/y[x]]*y[x], y[x], x]
Maple ✗
cpu = 0.224 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[y''[x] == f[x, y'[x]/y[x]]*y[x],y[x],x]
Mathematica raw output
DSolve[Derivative[2][y][x] == f[x, Derivative[1][y][x]/y[x]]*y[x], y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x) = y(x)*f(x,diff(y(x),x)/y(x)), y(x))
Maple raw output
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