A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
diff eq..determine the form of a particular solution for the given nonhomogeneous equation
y''+2y'=34t
 2 years ago
diff eq..determine the form of a particular solution for the given nonhomogeneous equation y''+2y'=34t

This Question is Closed

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1yp = some educated guess yp=At + B ; if these are not already a linear solution to the homogenous part ...

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0for fundamental solution set, i have y1=1, y2=e^(2t) f(t)=34t polynomial method so yp=At+B...check to see if any matches the fund.set. it does so... yp=At^2+Bt find y'p and y''p and plug in. now solving for A and B is where i'm stuck

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1then lets work thru it so I can catch up :)

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1r^2+2r=0 r=0,2 right?

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0at this point, it's just algebra which apparently, i'm very weak at

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1\[y=c_1e^{0x}+c_2e^{2x}+y_p\] \[y=c_1+c_2e^{2x}+y_p\]

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1yp = At + B ; but we already have a constant so we need to up the ante yp = At^2 + Bt ; and derive

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1yp = At^2 + Bt yp'= 2At + B yp''= 2A agreed?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1yp''+2yp'=34t (2A) + 2(2At + B)=34t im going to do this in lowercase, just easier to type for me 2a +4at +2b = 3 4t (4a)t = 4t ; a=1 (2a+2b) = 3 2+2b = 3 ; b=5/2

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0ah ok, i almost did that to solve for a but wasn't sure if it was correct, thank you

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1at^2 + bt = t^2+ 5/2 t\[\] \[y=c_1+c_2e^{2x}t^2+\frac 52 t \]
Ask your own question
Ask a QuestionFind 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.