Solve the following boundary value problems by using superposition: (a) u + 9u = x, u(0) =
Question:
(a) u" + 9u = x, u(0) = 1, u'(π) = 0
(b) u" - 8u′ + 16u = e4x, u(0) = 1, u(1) = 0
(c) u" + 4u = sin 3x, u'(0) = 0, u(2π) = 3
(d) u" - 2u' + u = 1 + ex, u'(0) = -1, u'(1) = 1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 81% (11 reviews)
a ux 19 x cos 3x 127 sin 3x ...View the full answer
Answered By
OTIENO OBADO
I have a vast experience in teaching, mentoring and tutoring. I handle student concerns diligently and my academic background is undeniably aesthetic
4.30+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Write down all solutions to the following boundary value problems. Label your answer as (i) Unique solution, (ii) No solution, (iii) Infinitely many solutions. (a) u" + 2u = 2a, u(0) = 0, u() = 0 (b)...
-
For each the following boundary value problems, (i) write down a minimization principle, carefully specifying the space of functions, and (ii) find the solution: a. -u" = cosx, u(0) = 1, u(Ï) =...
-
For each of the following boundary value problems, (i) Solve the problem exactly. (ii) Approximate the solution using the finite element method based on 10 equally spaced nodes. (iii) Compare the...
-
Mr. Lawrence had been the manager at Pleasure Sdn Bhd (PSB) since 1 February 2016. His employment was terminated on 30 April 2021 due to disputes with the directors of PSB. After many appeals,...
-
As a bailee, was Briere liable in conversion for the death of Park Me in First? Explain. The earliest direct ancestor of the horse lived about 50 million years ago. First domesticated by central...
-
Plot the response of a viscously damped system under harmonic base excitation, \(y(t)\) \(=Y \sin \omega t \mathrm{~m}\), Assume the following data: \(m=100 \mathrm{~kg}, k=4 \times 10^{4}...
-
What is the method of isoclines?
-
Since the terrorist attacks of 9/11 and the ensuing measures by the federal Transportation Security Administration (TSA) to increase airline security, airports have faced the problem of long waiting...
-
2.) In December 2017, Atlanta's Hartsfield-Jackson Airport, the nation's busiest by volume, suffered a power failure for a period of 11 hours. Thousands of flights were disrupted and authorities...
-
Using Exhibit 14-1, prepare common size ratios for Smith City for its governmentalactivities. Smith City Statement of Net Position As of June 30, 2014 Primary Govemment Governm Business-type...
-
Use superposition to solve the following inhomogeneous ordinary differential equations: (a) u' + 2u = 1 + cos x (b) u" - 9u = x + sin x (c) 9u" - 18u' + 10u = 1 + ex cos x (d) u" + u' - 2u = sinh x,...
-
(a) Prove that the solution to the linear integral equation solves the linear initial value problem du/dt = k(t) u(t),u(0) = a. (b) Use part (a) to solve the following integral equations 11(1)=a+ |...
-
The United States borrows a lot of money from other countries. If you wanted to use the lifecycle theory to explain this, would you say that the United States is acting like a young country, an old...
-
How does the volatility of a stock affect the value of puts and calls written on the stock?
-
Explain put-call parity.
-
Explain how you can use put options to create portfolio insurance. How can you create portfolio insurance using call options?
-
How does an understanding of the accounting equation facilitate the preparation of financial reports?
-
John bought 1,000 shares of Intel stock on October 18, 2015, for $30 per share plus a $750 commission he paid to his broker. On December 12, 2019, he sells the shares for $42.50 per share. He also...
-
For the conditions and results of Example 8.4, determine the following when using a six-flat-bladed turbine impeller in a closed vessel with baffles and with the extract phase dispersed, based on the...
-
A circular concrete shaft liner with Youngs modulus of 3.4 million psi, Poissons ratio of 0.25, unconfined compressive strength 3,500 psi and tensile strength 350 psi is loaded to the verge of...
-
Let = {a, b, c, d, e, f}. Assume that m(a) = m(b) = 1/8 and m(c) = m(d) = m(e) = m(f) = 3/16. Let A, B, and C be the events A = {d, e, a}, B = {c, e, a}, C = {c, d, a}. Show that P(ABC) =...
-
(a) What is the probability that your bridge partner has exactly two aces, given that she has at least one ace? (b) What is the probability that your bridge partner has exactly two aces, given that...
-
Prove that if A and B are independent so are (a) A and B. (b) A and B.
-
Instructions: Sun Sports Inc. has several kiosks in large and medium-sized shopping centers that They sell various styles of sports hats for men and women, all at the same price. In addition to the...
-
solve log(230x) - log(25) = log(212)
-
Kade and Danae are siblings with part-time jobs. Kade's bank account had a starting balance of $0. She deposits $290 into the account every 2 weeks. The table shows Danae's account balance after...
Study smarter with the SolutionInn App