Verify that the function y = et cos t + cet is a solution for every real

Question:

Verify that the function y = et cos t + cet is a solution for every real c. of the DE y'- y = -et sin t. Determine c so that y(0) = - l

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

See More Books

Question Posted: May 26, 2016 05:52 AM

See More Questions

Using principles from physics it can be shown that when a cable is hung between two poles, it takes the shape of a curve y = f(x) that satisfies the differential equation where p is the linear...
Verify that the function below is a linear transformation. 2ab
Verify that the function satisfies the three hypotheses of Roles Theorem on the given interval. Then find all numbers that satisfy the conclusion of Roles Theorem. 1. f(x) = x? - 4x + 1, [0. 4] 2....
Halemav paid $2 in dividends for each share over the past year and the company is not expected to increase its dividend distribution in the future. The risk free rate is 2% and the risk premium on...
Zulu, Inc., is preparing its master budget for the first quarter. The company sells a single product at a price of $25 per unit. Sales (in units) are forecasted at 40,000 for January, 60,000 for...
Why does traditional NPV analysis tend to underestimate the true value of a capital budgeting project?
To exchange heat between four streams with $\Delta T_{\text {min }}=20^{\circ} \mathrm{C}$, the HEN in Figure 11.61 is proposed. Determine whether the network has the minimum utility requirements....
Tim Snyder and Jay Wise have decided to form a partnership. They have agreed that Snyder is to invest $30,000 and that Wise is to invest $40,000. Snyder is to devote full time to the business, and...
Imagine two countries (A and B) operate in the Gold Standard era. The gold content of the country B's currency (B$) is twice that of the country A's currency (A$). The transportation cost of the gold...
Happy Place Primary Care has two locations serving approximately 60,000 patients. The practice has 8 physician partners, 4 registered nurses, 6 medical assistance, 3 billing clerks, 3 registration...
Verify that y = cet is a solution for any real c. of y' = 2ty determine c so that y(0) = 2
For the IJEs in Problems use the corresponding direction field to draw some solution. Try to give the general solution as formulas the substitute your guesses into the DE to see if you got them...
Let Y 1 , Y 2 , . . . , Yn be a sample of n independent observations selected from a gamma distribution with = 1 and = 2 . Show that the expected value and variance of the sample mean Y are...
A certain company makes it the policy that for any new piece of equipment the annual depreciation cost should not exceed 10% of the original cost at any time with no salvage or scrap value. Determine...
For example, decimal palindromic numbers that can be created from "8199" are: "1","8", "9", "99", "919" and "989". Among them, "989" has the largest value. Write a function: string solution (string...
Prove the statement with a detailed analytical framework. (Graph and etc.) The statement: Although FTA is a good one, some nations win while some nations lose. Companies that produce goods from...
Apple, a leading technilogy company, issues stocks to finance the development of one of its products. Profit growth in the first, second and third years is expected to be 6%, 8%, 10% annually,...
Let x1 < x2
Briefly explain how the data generally used in financial statement analyses discussed in this chapter differ from the data generally used in various management accounting decision analyses, such as...
PC Contractors, Inc., was an excavating business in Kansas City, Missouri. Union Bank made loans to PC, subject to a perfected security interest in its equipment and other assets, including...
In Problems 19 through 22, a particle starts at the origin and travels along the x-axis with the velocity function v(t) whose graph is shown in Figs. 1.2.6 through 1.2.9. Sketch the graph of the...
Find explicit particular solutions of the initial value problems in Problems 19 through 28. dy dx = 3x (y + 1), y(0) = 1
Find explicit particular solutions of the initial value problems in Problems 19 through 28. dy 2y dx X x-16 2 y (5) = 2
A portfolio has a standard deviation of 25%. The correlation of the portfolio and the market is 1. If the risk-free rate is 3.2%, the expected return on the market portfolio is 11%, and the standard...
(6 pts.) The following gas phase reaction system is conducted in an isothermal constant volume batch reactor. The reactor is charged with pure A with an initial concentration CAO AB ri = k CA B D r2...
Based on the NPV and IRR investment criteria, should your company introduce a new candy flavor? 1) Should the cost of a marketing survey be included in your decision? Why or why not? 2) Calculate the...

Verify that the function y = et cos t + cet is a solution for every real

Question:

Step by Step Answer:

We have y e t cost ce t y e t cost e t s...View the full answer

Differential Equations and Linear Algebra

Students also viewed these Linear Algebra questions