Question

In: Advanced Math

Please solve both parts of the following question. Please show all work and all steps clearly...

Please solve both parts of the following question. Please show all work and all steps clearly and type out the solutions. Please do not copy and paste solutions from the other question posted on chegg that answers these questions. instead, please write your own individual answers solving them differently than the answers posted before on chegg. solve these problems differently and provide new solutions.

1a.) Estimate the first eigenvalue of x" + (lambda)(e^t)(x)=0, x(0)=x(2)=0

for part 1a, the solution should be ((pi^2)/4e)) <= lambda * e^t <= ((pi^2)/4)).

1b.) Find the eigenvalues of x" + (lambda)(x) = 0, x(0)=x'(pi)=0.

Solutions

Expert Solution

in part ist I don't understand your hand writing


Related Solutions

Please solve all parts of the following question. Please show all work and all steps. 1a.)...
Please solve all parts of the following question. Please show all work and all steps. 1a.) Solve x' = x + 3y + 2t y' = x - y + t^2 1b.) Solve x' + ty = -1 y' + x' = 2 1c.) Solve x' + y = 3t y' - tx' = 0
Please answer all parts of the following question. Please show all work and all steps. 1a.)...
Please answer all parts of the following question. Please show all work and all steps. 1a.) Solve the initial value problem W((t^2) + 1, f(t)) = 1, f(0) = 1 1b.) Let x1 and x2 be two solutions of x''+ ((x')/(t)) + q(t)x = 0, t > 0, where q(t) is a continuous function. Given that W(6)=7, find W(7) 1c.) Show that any solution of x''+ 5x' + 6x = 0 tends to zero as t approaches positive infinity. 1d.)...
Please answer all parts of the question. Please show all work and all steps. 1a.) Show...
Please answer all parts of the question. Please show all work and all steps. 1a.) Show that the solutions of x' = arc tan (x) + t cannot have maxima 1b.) Find the value of a such that the existence and uniqueness theorem applies to the ivp x' = (3/2)((|x|)^(1/3)), x(0) = a. 1c.) Find the limits, as t approaches both positive infinity and negative infinity, of the solution Φ(t) of the ivp x' = (x+2)(1-x^4), x(0) = 0
Use Laplace Transform to solve the initial value problem. Please show all work and steps clearly...
Use Laplace Transform to solve the initial value problem. Please show all work and steps clearly so I can follow your logic and learn to solve similar ones myself. I will also rate your answer. Thank you kindly! y′′ + 4y = f(t), y(0) = 0, y′(0) = 0, where;  f(t)= 1 if 1 ≤ t < 2, 0 otherwise
Please solve the following questions. Please show all work and all steps. 1a.) Find CDF of...
Please solve the following questions. Please show all work and all steps. 1a.) Find CDF of the Bernoulli Distribution. 1b.) Explain your reasoning for part 1a above. Do not use a series result. 2a.) For the geometric distribution, show that the geometric pdf is actually a pdf (all probabilities are greater than or equal to 0 and the sum of the pdf from x=1 to x=infinity is equal to 1). 2b.) Find E(X) for 2a above. 2c.) Find V(X) for...
Please answer the problem below for all parts. Please show all work and write clearly. Thanks....
Please answer the problem below for all parts. Please show all work and write clearly. Thanks. (Apply total probability and Bayes’ rules) A large industrial firm uses three local motels to provide overnight accommodations for its clients. From past experience it is known that 22% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 28% at the Lakeview Motor Lodge. If the plumbing is faulty in 5% of the rooms at the Ramada Inn,...
Please solve questions 1 and 2. Please show all work and all steps. 1.) Find the...
Please solve questions 1 and 2. Please show all work and all steps. 1.) Find the solution xa of the Bessel equation t2x'' + tx' + t2x = 0 such that xa(0) = a 2.) Find the solution xa of the Bessel equation t2x'' + tx' + (t2-1)x = 0 such that x'a(0) = a
Please make sure to complete all parts of the question and to show all work used...
Please make sure to complete all parts of the question and to show all work used to compute the answer so I can see how the answer was found. A five-year annuity of 10 $5,230 semiannual payments will begin nine years from now, with the first payment coming nine and a half years from now. If the discount rate is 10 percent compounded monthly, what is the value of this annuity five years from now? What is the value three...
Both parts please, show work a) Run a regression analysis on the following bivariate set of...
Both parts please, show work a) Run a regression analysis on the following bivariate set of data with y as the response variable. x y 49.3 65.5 34.7 103.1 60.4 50.5 43.6 78.9 23.5 109.8 40.9 71.3 38.9 60.6 31.3 96.6 43 97.2 41.9 68.2 40.4 79.7 Verify that the correlation is significant at an ?=0.05?=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 109.5 on the...
Please answer both parts of this question. Please answer both parts of this question. Question: a)...
Please answer both parts of this question. Please answer both parts of this question. Question: a) The channel in question 2 now has a 0.3m high smooth extended shelf built across its base to cover a submerged pipeline but still carries 50m3/s. Plot the specific energy diagram for 0 < y < 4m and calculate the critical depth and minimum specific energy. What are now the two possible flow depths for a specific energy of 4m upstream of the obstructions?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT