Show that differential equation has a solution of period k

Reference no: EM131002201

Consider

911_Fundamental Matrix.jpg , if A(t) is a fundamental matrix with A(0)= I and p(t) has period k

1) Show that det A(t)= 1 for all t then use this to show that the floquet multipliers are roots of x²-bx+1=0 when b is the trace of A(k)

2) When b=2 show that the differential equation in the above figure has a solution of period k.

Reference no: EM131002201

Questions Cloud

Create a total compensation and benefits strategy : Consider the use of performance incentives and merit pay to recognize and engage employees.

Did he know or did he not know about his ancestry : Question: Did he know or did he not know about his ancestry before the story's conclusion? Explain your answer thoughtfully, using quoted language from the story to effectively support your answer

What is the fraction in natural potassium : Natural potassium contains 40K, which has a half-life of 1.277 x 109 y. What mass of 40K in a person would have a decay rate of 4180Bq? What is the fraction of 40K in natural potassium, given the person has 140 g in his body?

What will be the volume : Near the critical temperature and critical pressure of a gas, it will behave quite like an ideal gas except that its density will be higher than predicted by the Ideal Gas Law. Based on what you know of this "compressibilty" behavior, what will b..

Show that differential equation has a solution of period k : When b=2 show that the differential equation in the above figure has a solution of period k. Show that det A(t)= 1 for all t then use this to show that the floquet multipliers are roots of x2-bx+1=0 when b is the trace of A(k).

Which if any of these people are nearsighted : Which, if any, of these people are nearsighted (myopic)? List the first letter of all correct answers in alphabetical order. For example, if Avishka and Edouard are the only nearsighted ones, enter AE.

Personal injury lawsuit with a customer : Settled a personal injury lawsuit with a customer for $87,500, to be paid in January. Aston Martin Inc. accrued the loss in a litigation claims payable account.

Show that the multipliers satisfy in given condition : Let y1(t) and y2(t) be two linearly independent solutions of y'' +a(t)y = 0 satisfying normalized initial conditions y1(0)=1, y1'(0)=0 ,y2(0)=0 , y2'(0)=1 show that the multipliers satisfy r2 - (y1(w)+y2'(w) )r + 1= 0

Compute avoidable interest for hanson company : Hanson Company borrowed $1,194,400 on March 1 on a 5-year, 13% note to help finance construction of the building. In addition, the company had outstanding all year a 9%, 5-year, $2,060,100 note payable and an 10%, 4-year, $3,883,000 note payable. ..

User Account

All Pages