Show that both x(t)=et cos (t) and x2(t)=et sin (t) are solutions to the second order...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Show that both x₁(t)=et cos (t) and x2(t)=et sin (t) are solutions to the second order differential equation x" + 2x' +2x = 0 Show that x(t) = Aet sin (t) + Bet cos (t) is a solution for any values of the constants A and B. Show that both x₁(t)=et cos (t) and x2(t)=et sin (t) are solutions to the second order differential equation x" + 2x' +2x = 0 Show that x(t) = Aet sin (t) + Bet cos (t) is a solution for any values of the constants A and B.
Expert Answer:
Answer rating: 100% (QA)
1 To show that xtet cos t and x2tet sin t are solutions to the second order differential equation x ... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Show that C1 cos βt + C2 sin fit can be written in the form A sin (βt + y). Let sin ( = Cil A, and cos y = C2 / A? A = VC} + C3. %3D
-
Show that the helix [a cos t, a sin t, ct] can be represented by [a cos (s/K), a sin (s/K), cs/K], where K = a2 + c2 and s is the arc length. Show that it has constant curvature k = a/K2 and torsion...
-
Show that the spiral r = i cos t i + t sin t j + t k lies on the circular cone x2 + y2 - z2 = 0. On what surface does spiral r = 3t cos t i + t sin t j + t k lie?
-
Assuming that the Fed judges inflation to be the most significant problem in the economy and that it wishes to employ all of its policy instruments except interest on reserves, what should the Fed do...
-
If you purchase a zero coupon bond today for $225 and it matures at $1,000 in 11 years, what rate of return will you earn on that bond (to the nearest 1/10 of 1 percent)?
-
Three companies, A, L, and M, whose December 31, Year 5, balance sheets below, have agreed to combine as at January 1, Year 6. Each of the companies has a very small proportion of an intensely...
-
Claudia Vargas is contemplating the purchase of a machine that would be used in her business. The following estimates are available: Required: Determine the payback period for the machine purchase....
-
Long-term Liability Transactions. Following are a number of unrelated transactions for K-Town, some of which affect governmental activities at the government-wide level. None of the transactions has...
-
1. You work as a broker for a US company that imports European foods into the US. You just signed a deal with an Italian producer of premium olive oil. Under the terms of the contract, in three...
-
You are working on a free-form Packet Tracer challenge activity as seen in Figure 1, you have been given the London Railways network.' The purpose of this EMA question is to build upon each of the...
-
The Adidas Communication Strategy Marketing Communication strategy of Adidas is based on on-line and offline advertising and promotion. Development of informative web site is the top priority for...
-
With final candidates having competitive education, experience and accomplishments, how does your organization determine the candidate with the best fit ?
-
Explain why a business has to trade off competitive dimensions in order to be successful.
-
To what extent have competitive pressures generated by processes of economic globalisation impacted upon the management of the organisation? Discuss with reference to examples from the management of...
-
Attributes of Company Resources that can Provide Sustainable Competitive Advantage.
-
3. (20 points) Consider the following addition to the code. public class MockMode extends Mode { State state; **/ * Attempts to update the state so that the operation will be allowed. */ @Override...
-
Al Safa Corporation plans to issue new bonds to finance its expansion plans. In its efforts to price the issue, Al Safa Corporation has identified a company of similar risk with an outstanding bond...
-
Explain the buyers position in a typical negotiation for a business. Explain the sellers position. What tips would you offer a buyer about to begin negotiating the purchase of a business?
-
The frequency response of an ideal low-pass filter is (a) Calculate the impulse response h(t) of the ideal low-pass filter. (b) If the input of the filter is a periodic signal x(t) having a Fourier...
-
A continuous-time LTI system is represented by the ordinary differential equation where x(t) is the input and y(t) the output. (a) Determine the frequency response H(jΩ) of this system by...
-
Consider the following continuous-time signal 1-t 0st <1 x(t) = otherwise
-
Initially, a 200-gallon tank is filled with pure water. At time \(t=0\), a salt concentration with 3 pounds of salt per gallon is added to the container at the rate of 4 gallons per minute, and the...
-
You make 2 quarts of salsa for a party. The recipe calls for 5 teaspoons of lime juice per quart, but you had accidentally put in 5 tablespoons per quart. You decide to feed your guests the salsa...
-
Consider the epidemic model leading to the system in Expression (3.153). Choose the constants as \(a=2.0\) days \(^{-1}, d=3.0\) days \(^{-1}\), and \(r=1.0\) day \(^{-1}\). What are the eigenvalues...
Study smarter with the SolutionInn App