Use the Laplace transform to solve the given system of differential equations. dx = -x + y
Question:
Use the Laplace transform to solve the given system of differential equations.
Transcribed Image Text:
dx = -x + y dt dy 2x dt x(0) = 0, y(0) = 1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (7 reviews)
Use Laplace Transform to solve system of DE dx 1 dt dy dt x y 2x So 2 x 0 0 y0 1 taking Laplace ...View the full answer
Answered By
Rahul Jaiswal
Tutoring one on one was very enjoyable and rewarding. My students and I had fun, and grew quite fond of one another. and I have tutoring experience more than 3+ years. online doubt expert on Vedhantu , Tutor.com , Unacademy , Doubtnut ,
0.00
0 Reviews
10+ Question Solved
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 solve the given equation. y' + 2y = f(t), y(0) = 1, where f(t) is given in Figure 7.R.10. f() 4 3.
-
Use the Laplace transform to solve the given initial-value problem. y' - 3y = (t - 2), y(0) = 0
-
explain the term " system development" and describe the steps involved in system development
-
If (bn) is a bounded sequence and lim(an) = 0, show that lim(anbn) = 0. Explain why Theorem 3.2.3 cannot be used.
-
A climatologist claims that the precipitation in Seattle, Washington, was greater than in Birmingham, Alabama, in a recent year. The daily precipitation amounts (in inches) for 30 days in a recent...
-
How fast do small water droplets of \(0.06-\mu \mathrm{m}\left(6 \times 10^{-8} \mathrm{~m} ight)\) diameter fall through the air under standard sea-level conditions? Assume the drops do not...
-
The following information is available for Pyle Garage for March 2016: The following is a list of checks and deposits recorded on the books of Pyle Garage for March 2016: Other Information 1. Check...
-
An iron boiler of mass 188 kg contains 690 kg of water at 19C. A heater supplies energy at the rate of 58,000 kJh.How long does it take for the water (a) to reach the boiling point, and (b) to all...
-
Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for building new motels. Draw the AON network and answer the...
-
If n is an integer, use the substitution R(x) = (x) -1/2 Z(x) to show that the general solution of the differential equation x 2 R'' + 2xR'' + [ 2 x 2 - n(n + 1)]R = 0 on the interval (0, ) is R(x) =...
-
In problem use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. Theorem 7.2.1
-
Change each expression in Problem to radical form. Do not simplify. (7x 2 y) 5/7
-
Create Professional Development Plan. Self Analysis using the Personal SWOT model. Develop quality goal, using the SMART goals model . Create a timeline with at least 5 milestones to your goal....
-
Jeremy ( unmarried ) earned $ 1 0 0 , 5 0 0 in salary and $ 6 , 0 5 0 in interest income during the year. Jeremy's employer withheld $ 1 0 , 0 0 0 of federal income taxes from Jeremy's paychecks...
-
write on Marketing mix a. Product/service - Type - good, service, idea etc - Features - how will it be different from the competitors? - Identification - brand name, label and packaging - Production...
-
Given the following spot rates, find the forward rates Fo(n.n+1) for n=1,2,3,4. Note the notation Fo(n.n+m) denotes a forward rate over m periods contracted now at time t=0 for effect n periods from...
-
You are making meatloaf with yield: 50, 4 oz portions Ingredient Cost Per Unit 10 lbs ground beef $3.99/pounds 2 lbs ground pork $2.99/pounds 12 whole eggs $2.49/dozen 12 sliced whole grain bread...
-
Reed Company paid $18,000 to purchase equipment on January 1, 2013. Reed Company has a December 31 fiscal year end and uses straight-line depreciation. The company estimates the equipment will have a...
-
You deposit $10,000 in a savings account that earns 7.5% simple interest per year. What is the minimum number of years you must wait to double your balance? Suppose instead that you deposit the...
-
Suppose that a baby is born with a birth defect, but the babys ancestry is unknown. What is the posterior probability that the baby will have both parents from population A, both parents from...
-
What is the sensitivity of the VAS? Orthopedics Piriformis syndrome is a pelvic condition that involves malfunction of the piriformis muscle (a deep buttock muscle), which often causes back and...
-
What is the specificity of the VAS? Orthopedics Piriformis syndrome is a pelvic condition that involves malfunction of the piriformis muscle (a deep buttock muscle), which often causes back and...
-
4. A stock provides a dividend yield of 5.0% paid semi- annually. The spot price of the stock is currently $500, and the risk-free rate is 7.5% with continuous compounding for all maturities. 1. What...
-
1. A 1000 bond issued on January 10, 2021 is paying coupons at a nominal interest rate of 7% payable semiannually. The bond is redeemed at par and matures on January 10, 2031. The nominal yield rate...
-
Ruzgar Inc., bonds were selling at $1,040 a year ago. A friend of yours invested into this bond and just received a $100 coupon payment. She sold the bond today for $1,200.If the inflation rate for...
Study smarter with the SolutionInn App