Question: (a) Write down an integral formula for the solution to the initial value problem du/dt = Au + b. u(0) = 0. dt where b

(a) Write down an integral formula for the solution to the initial value problem
du/dt = Au + b. u(0) = 0. dt
where b is a constant vector.
(b) Suppose b ∈ mg A. Do you recover the solution you found in Exercise 9.1.33?

Step by Step Solution

★★★★★

3.55 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a ut t 0 e tsA b ds b Yes since if b Ac th... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

952-M-L-A-E (2820).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

For each of the problems in Exercise 11.4.1, (i) find the Green's function G(x, y), when possible; (ii) graph G (x, f); (iii) write down an integral formula for the displacement of the beam under a...

A bar of length i = 1 and stiffness function c(x) = 1 +x has both ends clamped: n(0) = (1) = 0. (a) Construct the Green's function for this boundary value problem. (b) Use the Green's function to...

Consider the boundary' value problem - u" = f(x), u(0) = 0, u(l) = 2u'(l). (a) Find the Green's function. (b) Which of the fundamental properties does your Green's function satisfy? (c) Write down an...

I have attached pic of theorem 17:31 4. Consider the initial value problem y(0) = 1 and dy = y, that is, in the general setup we take Lo = 0, yo = 1, and f(x, y) = y. Write the formula for the...

Prob 2 (Total of 25 pts): Consider the(IBVP) for wave equation on the line: Utt - Curr =0,t>0,-00 0, u(x, t=0) = Win(x), ut (, t=0) = Vin (2), u(x, t) -+ 0asx + too. 2.a (10 pts) Let u(@)(x,t) denote...

Question 1. Consider the second order partial differential equation 20 u at2 (1) for an unknown real-valued function u = u(t, r), where t represents time, r represents a point in space, and c > 0 is...

Hello. Please include full solutions for all of these homework questions. I am very confused about all of them and spent too much time and was not able to figure it out. Any additional explanation...

Please please answer all questions with full solutions for an upvote. Thank you Question 1. Consider the second order partial differential equation (1) 212 32 for an unknown real-valued function u=...

can someone please help me with this questionPlease be specific with your solutionThanks a lot Question 1. Consider the second order partial differential equation 20zu at2 (1) for an unknown...

MATH 1325 CALCULUS FOR BUSINESS AND SOCIAL SCIENCES Lab 4 - Integration NAME__________________________ Instructions: Please show all work, and write your solutions to the problems neatly on this...

In 2021, the Black Mountain Power Plant in Nevada generated 723,457 MWh in electricity from combusting natural gas that contained a total of 5,343,091,000,000 Btu in energy. What was the efficiency...

The International Standard on Quality Control (ISQC) deals with a firms responsibilities for its system of quality control for audits and review of financial statements, and other assurance and...

which method of anaylsis ignores the time value of money payback, IRR, DCF

In 2014, France had a current account def icit of 19.5 billion (approximately $25.9 billion). Did France experience a net capital outflow or a net capital inflow during 2014? Briefly explain. Source:...

Use the given graph of f(x) = √x to find a number δ such that |√x 2| y=V 2.4 2- 1.6 ? ?

Use the given graph of f(x) = x2 to find a number δ such that |x2 1| y=x 1.5 1+ 0.5

Use a graph to find a number such that |4x + 1 3|

Question 7 (1 point) A firm has determined its target capital structure and it after-tax cost for each source of capital. What is the firm's weighted average cost of capital (WACC)? (Enter your...

Please show all work. Thank you. Suppose the stock price of Company A is $Qt. The expected dividend for the next three years is $8,$15 and $27 per share. The expected price of the stock in the fourth...

Dome Metals has credit sales of $540,000 yearly with credit terms of net 45 days, which is also the average collection period. Dome does not offer a discount for early payment, so its customers take...