Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
elica85
Group Title
diff eq..determine the form of a particular solution for the given nonhomogeneous equation
y''+2y'=34t
 2 years ago
 2 years ago
elica85 Group Title
diff eq..determine the form of a particular solution for the given nonhomogeneous equation y''+2y'=34t
 2 years ago
 2 years ago

This Question is Closed

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

elica85 Group TitleBest ResponseYou've already chosen the best response.0
for 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
 2 years ago

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

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

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

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

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

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

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
yp''+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
 2 years ago

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

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
at^2 + bt = t^2+ 5/2 t\[\] \[y=c_1+c_2e^{2x}t^2+\frac 52 t \]
 2 years ago
See more questions >>>
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.