Show that for the implicit midpoint rule?

[shehpar]

||e_i+1|| <= ||e_i||+h||f( (t_i+t_i+1)/2, y_i+y_i+1)/2)-f((t_i+t_i+1)/2, y(t_i+t_i+1)/2))||+O(h^3).

I need help about this question.if anybody able to guide me , I be thankful .

 

[Mark44]

||e_i+1|| <= ||e_i||+h||f( (t_i+t_i+1)/2, y_i+y_i+1)/2)-f((t_i+t_i+1)/2, y(t_i+t_i+1)/2))||+O(h^3).

I need help about this question.if anybody able to guide me , I be thankful .

You need to provide more information than this. There is a template with three parts:

1. The complete problem statement
2. Relevant or useful equations
3. What you have tried

You have provided an equation with no explanation of what the symbols mean, or any other information, so don't expect much help.