User Account

All Pages

Prove that this system has a periodic solution

Assignment Help Mathematics
Reference no: EM132183428

Question 1. Consider the nonhomogeneous system y' = A(t)y + g(t) where the coefficient matrix A(t) and the forcing vector g(t) are continuous and periodic in t of the same period ω > 0. Prove that this system has a periodic solution of period ω if and only if the homogeneous system y' = A(t)y has no periodic solution of period ω except the trivial solution y == 0.

Question 2. Determine if the zero solution of y'' + 2y' + y = 0 is stable, asymptotically stable or unstable. (Hint: Convert the DE into a first order system.)

Verified Expert

The questions were from differential equations. They had to be studied for stability using eigen value concept.

Reference no: EM132183428

Questions Cloud

Triple-bottom-line approach : Corporate sustainability requires organizational leaders to simultaneously consider the issues involving economic growth, social justice.
Can central banks successfully influence these : Governments try to maintain the confidence of investors, business people, and consumers in their economies.
Would produce new addition to product line : Expando, Inc., is considering the possibility of building an additional factory that would produce a new addition to its product line.
Working in a corporate environment : Can you explain what this mean when I first started working in a corporate environment I found human resource management to be very helpful.
Prove that this system has a periodic solution : Prove that this system has a periodic solution of period ? if and only if the homogeneous system y' = A(t)y has no periodic solution of period ? except
Discuss about the organizational culture : Give an example of a time when you were a part of an organizational culture that used mistakes/problems to blame those involved as well as one that used such.
Develop inventory ordering policy : Dunstreet's Department Store would like to develop an inventory ordering policy with a 95 percent probability of not stocking out.
How does human resources management affect all managers : Can you explain to me on how does Human Resources Management affect all managers? give exampl if you can and explain the meaning when given an example.
Determine the income statement for the year ended december : On July 1, 2017, Joseph Company purchased 1,000 of Griswald Corporation's $1,000, Determine the income statement for the year ended December

Reviews

len2183428

12/2/2018 9:10:15 PM

Please please help me get a good grade in that make it logically sand mathematically. Hint: Convert the DE into a first order system.) Prove that this system has a periodic solution of period

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd