Computer Science - MATLAB Project

x_D = (e)^a*y exponential function

Given in the data file (exponential.dat), where the first column is the "y" and the second column is the "x_D" .

exponential.dat

+4.72354E-01 +3.45672E-08 +5.12571E-01 +5.39041E-08 +9.85014E-01 +2.00019E-03 +1.34205E+00 +1.82305E-01 +1.17604E+00 +4.23477E-01

With the help of Lagrange interpolation, read the data in the dat file to the above exponential function. Then solve the ODE below;

dx/dt = [ 2,5 - y(t) - x(t)*13,8 ] * 1,07 ODE equation

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 the MATLAB code that solves the ODE equation with the Euler Method and find the values of x(t) and y(t). Plots of x(t) and y(t) versus time t.