Question

using the improved eulers method estimate y(c) for dy/dx= x-2y/x+1
given c=3, y(0)=1, and dx=0.05

Answer 1

improved?

Answer 2

yeah, thats what it says in my book.

Answer 3

\[y _{n} = y_{n - 1} + \left[ f(x_{n - 1},y_{n-1})+f(x_{n},z_{n})/2 \right]dx\]

Answer 4

the "improved eulers method"