Computer Science - MATLAB Project

Given in the data file (info.dat), where the first column is the "y" values and the second column is the "x" values .

info.dat

+4.60000E-01 +2.39944E-08 +5.00000E-01 +5.47030E-08 +9.70000E-01 +1.15987E-03 +1.21200E+00 +1.90309E-01 +1.24300E+00 +4.21568E-01

Eq. 1 is a time independent equation. Convert this equation to time dependent function according to the operations below and find the solution.

For the time interval t [0, 500] ms using the step sizes t = 20 ms and assume that y(0) = 0 for t = 0 s :

Write a MATLAB code to import the associated data using the given dat file and determine the time-dependent function y(t) and plot of the y(t) versus time, using

a) Euler Method

b) Midpoint Method

y = ln (x) x 2 Eq. 1 y = ln (x) x 2 Eq. 1