A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
method of undetermined coefficients
4y''+8y'+13y=1, y(0)=0, y'(0)=1/13
anonymous
 5 years ago
method of undetermined coefficients 4y''+8y'+13y=1, y(0)=0, y'(0)=1/13

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0use the quadratic formula find the roots to the characteristic polynomial \[4s ^{2}+8s+13=0\] then find all the solns to the corresponding homogenous D E . find a particular solution to the DE and put them together

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i got to the point \[\left( 8\pm \sqrt{144} \right)\div8\] bit confused with the negative square root

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do i have to get imaginary numbers involved?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[y _{p}=1/13\] is a particular soln to the DE

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the homo soln will be \[y _{h}(t)= c _{1}e ^{t}\cos8/12t+c _{2}e ^{t} \sin8/12\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0add the part. soln to this, then use your init values to solve for \[c _{1}, c _{2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0when u put 8/12 do you mean 12/8?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and can you put it in brackets please?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0actually, i get that now, dont worry bout brackets

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks for all the help, i have the final answer as \[y(x)=\exp(x)[(2/39)\sin ((3/2)x)]+(1/13)\] do you know if that is right?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.