Using Laplace transforms, solve the simultaneous differential equations where x = 1 and y = 0 when
Question:
Using Laplace transforms, solve the simultaneous differential equations
where x = 1 and y = 0 when t = 0.
Transcribed Image Text:
d.x dt dy dt + 5x + 3y = 5 sint - 2 cost + 3y + 5x = 6 sint - 3 cost
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
Taking Laplace transforms Eliminating Ys Thus xt e s5Xs 3Ys 1 5XSs ...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
(a) Use Laplace transforms to solve the differential equation given that = 0 and d/dt = 0 when t = 0. (b) Using Laplace transforms, solve the simultaneous differential equations given that i 1 = 1,...
-
Use Laplace transform methods to solve the simultaneous differential equations dx dt dy dt - 5dy = t dt x+ 5 dy - 4y - 2dx = -2 dt subject to x=y= dx dt dy dt = 0 at t = 0.
-
Describe the graphs of the equation. x 2 + y 2 3
-
Consider the nuclear reaction 42He + 7s3Li X + 10n where X is a nuclide. (a) What is Z and A for the nuclide X? (b) Is energy absorbed or liberated? How much?
-
Using the methodology illustrated in Table 4.3 and your knowledge as an automobile owner, prepare a competitive strength assessment for General Motors and its rivals Ford, Chrysler, Toyota, and...
-
If a bar under longitudinal vibration is fixed at node 1 , the forward difference formula gives a. \(U_{1}=0\) b. \(U_{1}=U_{2}\) c. \(U_{1}=U_{-1}\)
-
Refer to the financial statements of Urban Outfitters in Appendix C at the end of this book. Required: 1. What is the balance in short-term and long-term marketable securities reported by the company...
-
A battery of 12 V is connected across capacitors of capacitances C1-C2=C3 C4 =C7= B F, Cs = C6= F. 12 V C3 C2 C1 i. What is the equivalent capacitance Ceq of the capacitors, you should show your work...
-
The charge q on a capacitor in an inductive circuit is given by the differential equation and it is also known that both q and dq/dt are zero when t = 0. Use the Laplace transform method to find q....
-
(a) Find the inverse Laplace transform of (b) Solve using Laplace transforms the differential equation given that y = 3 when t = 0. S-4 s + 4s + 13
-
B&R, Inc. is one of the worlds largest manufacturers and distributors of consumer products, including household cleaning supplies and health and beauty products. Last year, net sales revenues...
-
At t = 0 you buy a 6-year, 5% coupon bond with FV = $10,000 and 8% YTM. With the coupon you receive from this bond at t = 2, you buy bond X at t = 2, where Bond X is a 5-year 0-coupon bond. At t = 4,...
-
Hansson needs to evaluate a potential expansion opportunity. You (done individually), as a special consulting team Hansson hires, need to provide a sound recommendation to him in the end. Discussion...
-
One of the key comments from the SEC in its June 29, 2011, letter to Groupon involved Groupon's choice between gross and net reporting for revenues. Compare the reported revenues, for fiscal years...
-
An investor has decided to model PPB ple shares using the lognormal model. Using historical data, she has estimated the drift and volatility parameters to be 6% and 25% respectively. PPB's current...
-
Consider the graph of the piecewise function f(r) shown below: -3-2 4 y 2 1 Write the rule for the function. Consider the graph of a basic function f(x)= |z]. The graph of the function g(x) is...
-
One ball is dropped from a cliff. A second ball is thrown down 1.00 s later with an initial speed of 40.0 ft/s. How long after the second ball is thrown will the second ball overtake the first?
-
Velshi Printers has contracts to complete weekly supplements required by fortysix customers. For the year 2018, manufacturing overhead cost estimates total $600,000 for an annual production capacity...
-
An oil is tested using a Saybolt viscometer and its viscosity is 6250 SUS at 100F. Determine the kinematic viscosity of the oil in mm 2 /s at that temperature.
-
An oil is tested using a Saybolt viscometer and its viscosity is 438 SUS at 100F. Determine the kinematic viscosity of the oil in mm 2 /s at that temperature.
-
An oil is tested using a Saybolt viscometer and its viscosity is 68 SUS at 100F. Determine the kinematic viscosity of the oil in mm 2 /s at that temperature.
-
How is the amount of research renewed and when is it renewed? Explain.
-
When forecasting pro forma, why did the tutor use (13234/13994)-1 = -5.43 instead of ((13234-13994) / 13994) *100 =-5.45? And why do Net Sales and COGS share the same growth assumption? G5 1 2 fx...
-
Noble cause corruption follows the teleological model of ethics. The approach emphasizes "good ends" and is a product of police officers' "overinvestment" in their work. Police officers believe that...
Study smarter with the SolutionInn App