by the technique of undetermined coefficients. So ns need an initial to uncover a solution to the no homogeneous equation. I"m utilizing a to organize that says that I just need to find the services for:
$$y""+y = 3sin(2t)$$and$$y""+y = tcos(2t)$$
and them sum the two solutions. Climate I simply need to amount this final solution with the basic solution because that the homogeneous equation. The problem is that the prize in my publication is the following:
$$y(t) = c_1cos t+c_2sin t-frac1ttcos 2t-frac59sin 2t$$
but I resolved $y""+y = 3sin 2t$ and also got $y=-sin(2t)$, i beg your pardon is exactly according to wolfram alpha, so just how does that $-frac59$ appeared?
Also, which have to be the guess for the equation $y""+y = tcos(2t)$? I"m gonna try $(at+b)(ccos 2t + dsin 2t)$, is that right? due to the fact that the derivatives space huge.
You are watching: Y'+y=3 sin(2t)+tcos(2t)
Please remember that I need to use the method of undetermined coefficients.
calculus ordinary-differential-equations derivatives
re-superstructure
mention
follow
request Oct 23 "16 in ~ 21:56

Guerlando OCsGuerlando OCs
6,27233 yellow badges5656 silver badges135135 bronze badges
$endgroup$
4
include a comment |
0
energetic oldest Votes
Know who who have the right to answer? share a link to this concern via email, Twitter, or Facebook.
your Answer
Thanks because that contributing response to sommos.netematics Stack Exchange!
Please be sure to answer the question. Provide details and also share your research!But avoid …
Asking because that help, clarification, or responding to various other answers.Making statements based on opinion; ago them increase with referrals or an individual experience.Use sommos.netJax to layout equations. sommos.netJax reference.
To learn more, see our tips on writing good answers.
See more: Experience Wig Wam Resort Lake Of The Woods, Wigwam Resort
Draft saved
Draft discarded
Sign up or log in
sign up using Google
sign up utilizing Facebook
sign up utilizing Email and also Password
send
Post as a guest
name
email Required, but never shown
Post as a guest
name
Required, but never shown
article Your price Discard
By clicking “Post your Answer”, you agree come our regards to service, privacy policy and also cookie plan
Browse various other questions tagged calculus ordinary-differential-equations derivatives or asking your very own question.
Featured top top Meta
associated
0
resolving $y'' + 4y = 3 sin 2x$ making use of undetermined coefficients
4
resolving Inhomogeneous Differential Equations using the Undetermined Coefficients an approach
1
Undetermined Coefficients for greater order differential equations
0
method of Undetermined Coefficients in ODE
1
Is there another method of analyzing undetermined coefficients?
5
Diffeq question: technique of undetermined coefficients
1
To solve the ODE using technique of undetermined coefficients
0
Undetermined coefficients because that the equation $y''+9y=sin 3x$
0
an approach of undetermined coefficients clarify
hot Network inquiries much more hot inquiries
question feed
i ordered it to RSS
concern feed To i ordered it to this RSS feed, copy and also paste this URL right into your RSS reader.

sommos.net
firm
stack Exchange Network
site design / logo © 2022 stack Exchange Inc; user contributions licensed under cc by-sa. Rev2022.1.12.41154
sommos.netematics stack Exchange works ideal with JavaScript allowed

your privacy
By clicking “Accept every cookies”, you agree ridge Exchange have the right to store cookie on your an equipment and disclose information in accordance with our Cookie Policy.