2019-04-27T09:26:14+00:00 sample questions

Assuming that u(x,t) can be separated into a function of space x multiplied by a function of time t, show that the system is represented by two Ordinary Differential Equations

This paper concentrates on the primary theme of Assuming that u(x,t) can be separated into a function of space x multiplied by a function of time t, show that the system is represented by two Ordinary Differential Equations in which you have to explain and evaluate its intricate aspects in detail. In addition to this, this paper has been reviewed and purchased by most of the students hence; it has been rated 4.8 points on the scale of 5 points. Besides, the price of this paper starts from £ 40. For more details and full access to the paper, please refer to the site.

Assuming that u(x,t) can be separated into a function of space x multiplied by a function of time t, show that the system is represented by two Ordinary Differential Equations (ODEs). State these equations, the two boundary conditions, and the two initial conditions that are necessary to solve for a unique solution. (8%)
2. Apply the boundary conditions to solve the spatial ODE. State the general solution to the time ODE. Then determine an expression for the displacement u(x,t) in terms of wave-speed, c, and the Fourier coefficients. (5%)
3. After some lab testing, you discover that an initial velocity profile shown in Equation 2 causes the web to vibrate continuously at a frequency of f3 = 540 Hz and that the wave-shape is exactly a 3rd mode sine wave with amplitude A = 1.0 × 10−3m. Use this information to determine the wave-speed, c, and state clearly the eigenvalues/eigenfunctions of the system. Hence present the complete analytic solution for this problem. (7%)



0% Plagiarism Guaranteed & Custom Written, Tailored to your instructions


International House, 12 Constance Street, London, United Kingdom,
E16 2DQ

UK Registered Company # 11483120


100% Pass Guarantee

Order Now

STILL NOT CONVINCED?

We've produced some samples of what you can expect from our Academic Writing Service - these are created by our writers to show you the kind of high-quality work you'll receive. Take a look for yourself!

View Our Samples

corona virus stop
FLAT 25% OFF ON EVERY ORDER.Use "FLAT25" as your promo code during checkout