anonymous
  • anonymous
5. Consider the differential equation dy/dt= y − t. (a) Work out by hand three steps of Euler’s method with step size .25 for the above equation, with y(1) = 1.
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
Euler’s method is a method that's used to approximate solutions of initial value problems of the form \(y'=f(t,y), y(t_0)=y_0\). In each iteration you should apply \(y_{n+1}=y_n+hf(t_n,y_n)\), where h is the step size. I will help you with the first iteration on the next post.
anonymous
  • anonymous
Before I start, you need to notice that \(f(t,y)=y-t\). Iteration#1 (\(n=0)\): In this iteration we have \(y_n=y_0=1, t_n=t_0=1, \) and \(f(t_n,y_n)=f(t_0,y_0)=0.\) Hence \(y_1=y_0+hf(t_0,y_0)=1+0.25(0)=1\)
anonymous
  • anonymous
You might want to watch this video here http://www.youtube.com/watch?v=4CqaepeaJHA

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.