A community for students.
Here's the question you clicked on:
 0 viewing

This Question is Closed

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0Must be in the form\[ay''+by'+cy=Ct ^{m}e ^{rt}\]What does C stand for? I thought it was a constant but the equation\[y''+2y'y=t ^{1}e ^{t}\]Does not satisfy this method. i assumed C=1 so it would, bu tit doesn't. Explanation?

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0Find a particular solution to the differential equation\[4y''+11y'3y=2te ^{3t}\]

across
 2 years ago
Best ResponseYou've already chosen the best response.1I believe that the method only applies for \(m\geq0\), but I cannot recall to save my life.

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0\[4r ^{2}+11r3=0\rightarrow (4r1)(r+3)\rightarrow r= \frac{ 1 }{ 4 },3\]

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0That makes sense I'm going to look that up. Thanks

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0@across I found it you are right

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0since 3 does appear as a root s=1 which is the multiplicity of the root 3

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0Ok @UnkleRhaukus I could use a little help on my last problem of the night. I posted the question in this stream 3rd from the top.

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0\[Y _{p}= t(Ae ^{3t})\]Do I have to include the other root as well?

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0@Directrix @Hero Can I have a little push in the right direction

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0@Hero do you see a mistake I have made or is anything coming to you about what to do next?

Hero
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry, I'm busy doing my own work at the moment.

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0The answer in the back of the book is \[(\frac{ t }{ 13 }\frac{ 8 }{ 169 })te ^{3t}\]

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0@UnkleRhaukus Just in time I was about to give up. Do you mind helping me with this last question?

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0where are you up to

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0I feel like I need to plug in \[Y _{p},Y'_{p}, Y''_{p}\]into the original to solve for A. I am up to writing an equation for Yp

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0I feel like I have my roots and s correct

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0\[4y''+11y'3y=2te ^{3t}\] \[4r^2+11r3=0\]\[(4r1)(r+3)=0\]\[r=1/4,3\] \[y_c=ae^{t/4}+be^{3t}\]

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0Oh ya I forgot, when you have two diff roots you need to use two different unknowns. What about the t^s? My teacher threatened us if we forgot that on the test

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0As i understand it t^s, where s is the multiplicity of your roots needs to be out in front.

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0\[y_p=t\left(c\cdot e^{3t}+d\cdot t\cdot e^{3t}\right)\]

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0Why do you have two terms in the ( ) if m=1 shouldn't there be 1. And I don't mean to come across like I'm questioning you, just trying to undersstand

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0its a second order equation there will be two solutions

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0So I see your Yp matches the books except I need to now solve for c and d by plugging Yp into the original equation right?.........Ok

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0take the first and second derivative of y_p

ChmE
 2 years ago
Best ResponseYou've already chosen the best response.0Right then plug it in. I can do that on my own later. Thanks for your help again. I'm calling it a night
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.