help me with this. Im done with task 1 and on the way to do task 2. but I don't know how to do it. I attach 2 file function of rksys and ode45 ( the first is rksys and second is ode 45) . thank for your help
%i have created the script as well as the function. You need to change parameters as needed. If any error is there, please tell in comments, I will fix it
y0=[0;0];
tstart=0;
tend=1;%edit it accordingly
h=.1;%change as needed
tspan=[tstart,tend];
[t_23s,y_23s]=ode23s(@forcedvibration,tspan,y0);%calling
ode23s
[t_45,y_45]=ode45(@forcedvibration,tspan,y0);%calling ode45
[tp,yp]=rk4sys(@forcedvibration,tspan,y0,h);%calling rk4sys
plot(t_23s,y_23s(:,1),t_45,y_45(:,1),tp,yp(:,1))
xlabel('t')
ylabel('x')
title('displacement')
legend('ode 23s','ode45','rk4sys')
figure
plot(t_23s,y_23s(:,2),t_45,y_45(:,2),tp,yp(:,2))
xlabel('t')
legend('ode 23s','ode45','rk4sys')
ylabel('x''')
title('slope')
%the required function
function y = forcedvibration(t,x)
A=1000;
B=100;
k=50;
w=pi/2;
m=10;
f=A*exp(-B*t).*cos(w.*t);
y=[x(2);(f-k*x(1)-B*x(2))/m];
end
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