Discussion Topic:
Under what conditions the solution of the first order ordinary differential equation exist?
Furthermore, without solving the following initial value problem determine the interval in which the solution is certain to exist.
Opening Date: August 13, 2014 at 12:01 AM
Closing Date: August 18, 2014 at 11:59 PM
Instructions:
Post your discussion only on the provided Graded Discussion Board forum and not on regular MDB forum.
MathType equation is not supported directly in this forum. If you want to use any MathType equation then write the equation on the
http://www.codecogs.com/latex/eqneditor.php
and then copy and paste the image. However any mathematical equation is not needed to answer this question. You can write the interval in plain text.
Zero marks will be awarded to irrelevant discussion or to those which are copied from website or any other source.
Do not post your discussion more than once.
Be careful about the date and time limitation as due date will not be extended for anyone.
No post will be accepted through e-mail.
Tags:
Please Discuss here about this GDB.Thanks
Our main purpose here discussion not just Solution
We are here with you hands in hands to facilitate your learning and do not appreciate the idea of copying or replicating solutions.
2nd question ka kia answer hy? kisi ko pata hy kia?
sanu pehla nhi araha ap dusra bol rahy kamal kerty hen pandy g...!
Find the general solution by using an integrating factor:
y' + ytant = sint
dy / dt + ytant = sint
dy / dt + P(t)y = f(t)
P(t) = tant
f(t) = sint
I(t) = ℮^[∫ P(t) dt]
I(t) = ℮^(∫ tant dt)
I(t) = ℮^(-ln|cost|)
I(t) = ℮^(ln|1 / cost|)
I(t) = 1 / cost
I(t)y = ∫ I(t)f(t) dt
y / cost = ∫ tant dt
y / cost = -ln|cost| + C
y / cost = C - ln|cost|
y = cost(C - ln|cost|)
Find the particular solution by solving for the constant:
When t = π, y = 0
-C = 0
C = 0
y = -costln|cost|
Suppose that f(t,y) and partial deriavative of f(t,y) are continuous on a closed rectangle R of the ty -plane. If , then the IVP
y'=f(t,y) ,y(t0)=y0
has a unique solution y(t) on some t-interval containing t0.
but i love this subject
© 2021 Created by + M.Tariq Malik. Powered by
Promote Us | Report an Issue | Privacy Policy | Terms of Service
We non-commercial site working hard since 2009 to facilitate learning Read More. We can't keep up without your support. Donate.
We are user-generated contents & non-commercial site. All product, videos, pictures & others contents on site don't seem to be beneath our Copyrights & belong to their respected owners & freely available on public domains. All Contents on site are for personal & non-commercial use.We believe in Our Policy & do according to them. If Any content is offensive in your Copyrights then please email at m.tariqmalik@gmail.com with copyright detail & We will happy to remove it immediately.
Management: Admins ::: Moderators
Awards Badges List | Moderators Group
All Members | Featured Members | Top Reputation Members | Angels Members | Intellectual Members | Criteria for Selection
Become a Team Member | Safety Guidelines for New | Site FAQ & Rules | Safety Matters | Online Safety | Rules For Blog Post