Question

I need to solve this using Matlab please type comments in the script so I understand thank you.

Solve the following problem with the fourth-order RK method: 25.4 dy dxdx where y(0) 4 and y'(0)-0. Solve fromx-0 to 5 with h 0.5. Plot your results.

1. Create a table (similar to what we do in class) with all the parameters that you have to calculate for every step in the solution. Include y and dy/dx in the same plot with points from your table joined by straight lines (and clearly indicate which line correspond to what). You may use the MATLAB function you created above.

Answer 1

Matlab Code:

clc;clear;
x = 0:0.5:5;% defining x

init = [4; 0];% initial conditions

[x,y] = ode45(@f,x,init);% command to solve

plot(y);%plotting results

function e = f(x,y)

e = zeros(2,1);
e(1) = y(2);%first derivative
e(2) = -8*y(1)-0.6*y(2);%second derivative
  
end