Use the Laplace transform to solve the given equation. y'' + 5y + 4y = f(t), y(0)
Question:
Use the Laplace transform to solve the given equation.
y'' + 5y + 4y = f(t), y(0) = 0, y'(0) = 3
Transcribed Image Text:
f(t) = 12 (-1)* U(t – k). よ=0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 90% (10 reviews)
y 5y 4y ft y0 0 y 0 3 We take Laplace transform eq L y 5L y 4L L ...View the full answer
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
Use the Laplace transform to solve the differential equation D2v(t)/dt2 + 2dv(t)/dt + 10v(t) = 3 cos 2t subject to v(0) = 1, dv(0)/ dt = 2 .
-
Use the Laplace transform to find i(t) for t > 0 if i(0) = 0 , i'(0) = 3 dt dt
-
In problem use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y' + y = t sin t, y(0) = 0 Appendix III = F(s) 1. 1 2. t...
-
Alpha Corp. (a spinoff of Alpha Beta) makes Product X, which is composed of two Part Ys. Complete the following MRP matrices for X and Y, and construct a planned order report. When are orders placed...
-
a. If the cost of capital is 14 per cent, find the modified internal rate of return for the following investment and state if you would implement it. b. Is this project to be accepted under the...
-
In January 2017, Joey contributed investment land he had held two years with a FMV of $6,000 and an adjusted basis of $10,000, and Rachel contributed $6,000 cash to form the Green Partnership as...
-
Which of the following is NOT usually included in the tokenization of text? a. Removal of punctuation and symbols b. Generation of a word cloud c. Removal of stopwords d. Stemming words
-
A not-for-profit organization receives a restricted gift. When, and in which type of fund, should it recognize the revenue? When, and in which type of fund, should it recognize the related expense?...
-
The annual return on the S&P 500 Index was 12.4 percent. The annual T-bill yield during the same period was 5.7 percent. What was the market risk premium during that year?
-
A six-year government bond makes annual coupon payments of 5% and offers a yield of 3% annually compounded. Suppose that one year later the bond still yields 3%. What return has the bondholder earned...
-
In problem use the Laplace transform to solve the given initial value problem. y'' + 9y = e t , y(0) = 0, y'(0) = 0
-
Find either F(s) or f (t), as indicated. L{e?-1 U(t 2)}
-
Indicate whether a CPA may provide each of the following services, and whether independence is required, by placing a check in the appropriate box.
-
Determine for and fy, if == (A) f(x, y) = (sin()) In(y) f = fy (B) f(x, y) =sin( In(y)) sin(In(y)) fx fy =1
-
Many public companies disclose alternative, non-GAAP earnings measures. Unlike GAAP measures such as operating income, earnings before taxes, or net income reported on the face of the income...
-
Book value of common stockholders' equity of FedEx, May 31, 2020 (figures in $ millions) Common shares ($0.10 par value per share) Additional paid-in capital Retained earnings Treasury shares at cost...
-
This question has four parts. Consider each scenario and in your answer back-up your position. If you are researching a new technology and you need help and you needed to protect your existing...
-
George's Equipment is planning to acquire Nelson Machinery for $65,000 worth of George stock (stock payment). George's currently has 4,600 shares of stock outstanding at a market price of $31 a...
-
How does the taxation of a gain recognized when a U.S. shareholder sells stock in a CFC differ from that of a gain recognized when a U.S. shareholder sells stock in a non-CFC?
-
Find a polar equation for the curve represented by the given Cartesian equation. 4y 2 = x
-
Answer Problem 8.7 if a one-sided rather than a two sided test is used? Nutrition The mean 1 sd of ln [calcium intake (mg)] among 25 females, 12 to 14 years of age, below the poverty level is 6.56 ...
-
Suppose an equal number of 12- to 14-year-old girls below and above the poverty level are recruited to study differences in calcium intake. How many girls should be recruited to have an 80% chance of...
-
Compute a 95% CI for the difference in means between the two groups? Nutrition The mean 1 sd of ln [calcium intake (mg)] among 25 females, 12 to 14 years of age, below the poverty level is 6.56 ...
-
Question: d. ?During December, Ingrid Legal Services provided legal services, and the client prepaid $7,000. ?Ingrid Legal Services recorded this amount as Unearned Revenue. The job will take several...
-
Question: A company had the following purchases and sales during the month of November:\table[[Date,Activities,Units Acquired at Cost,Units Sold at Retail],[November 1,Beginning inventory,5 units @...
-
Question: Tania, Inc. issued a note payable with principal and interest due at the end of the term of the note. Details about the note payable are as follows:Issuance date: October 1, fear...
Study smarter with the SolutionInn App