How would I show the stability of the following three step method
$y_{n+3}-y_{n}=h[\frac{3}{8}f(t_{n+3},y_{n+3})+\frac{9}{8}f(t_{n+2},y_{n+2})+\frac{9}{8}f(t_{n+1},y_{n+1})+\frac{3}{8}f(t_n,y_n$)]
using the root method I am having trouble doing this
How would I show the stability of the following three step method
$y_{n+3}-y_{n}=h[\frac{3}{8}f(t_{n+3},y_{n+3})+\frac{9}{8}f(t_{n+2},y_{n+2})+\frac{9}{8}f(t_{n+1},y_{n+1})+\frac{3}{8}f(t_n,y_n$)]
using the root method I am having trouble doing this