Given Myeuler Code F T Y 1 Exp 4 T 2 Y Myeuler F 0 1 02 2 Function Yy Myeuler F T0 Y0 Dt T Q43870702
given my_euler code:
f=@(t,y) (1-exp(-4*t))-2*y;
my_euler(f,0,1,0.2,2)
function yy=my_euler(f,t_0,y_0,dt,t_f)
t=t_0:dt:t_f;
y=zeros(1,length(t));
y(1)=y_0;
for k=1:length(t)-1
y(k+1)=y(k)+dt*f(t(k),y(k));
end
plot(t,y,’+g’);
hold on;
plot(t,y,’r’);
yy=y(end);
end
Exercise 6 1 e-4 Let’s plot the exact solution y(t) = =+ = + ke-2 (with your value of k) against the Euler approximation, to check that your code works. Run your function my euler with t_0= 0, Y_0= 1, dt=0.1 and t_f = 2 Plot the exact solution on the same set of axes. Show/hide hint To plot the exact solution you will first need to create a vector of 1 values. Then you should calculate a vector of the corresponding y- values. Use the hold on command and plot function to plot over the approximation plotted with your function my_euler. Save your plot as a PNG figure and upload your PNG using the following prompt: Show/hide tip on saving as a PNG Choose file No file chosen Upload your PNG 0% Show transcribed image text Exercise 6 1 e-4 Let’s plot the exact solution y(t) = =+ = + ke-2 (with your value of k) against the Euler approximation, to check that your code works. Run your function my euler with t_0= 0, Y_0= 1, dt=0.1 and t_f = 2 Plot the exact solution on the same set of axes. Show/hide hint To plot the exact solution you will first need to create a vector of 1 values. Then you should calculate a vector of the corresponding y- values. Use the hold on command and plot function to plot over the approximation plotted with your function my_euler. Save your plot as a PNG figure and upload your PNG using the following prompt: Show/hide tip on saving as a PNG Choose file No file chosen Upload your PNG 0%
Expert Answer
Answer to given my_euler code: f=@(t,y) (1-exp(-4*t))-2*y; my_euler(f,0,1,0.2,2) function yy=my_euler(f,t_0,y_0,dt,t_f) t=t_0:dt:…
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