Please help elaborate the given solutions for the following problem
Solutions:
Please help elaborate the given solutions for the following problem Solutions: over the interval (0, 2)....
From Arfken 10.3.4 You are given (a) a set of functions un (x)--x", n = 0, 1, 2, (b) an interval (0, oo), (c) a weighting function w(x)-xe. Use the Gram-Schmidt procedure to construct the first three orthonormal functions from the set un(x) for this interval and this weighting function. 10.3.4 You are given (a) a set of functions un (x)--x", n = 0, 1, 2, (b) an interval (0, oo), (c) a weighting function w(x)-xe. Use the Gram-Schmidt procedure...
Verify that the given function form a fundamental set of solutions on the interval (0, 0), compute the Wronskian, and form the general solution. xy'' – 6xy' +12y = 0 x?; x+ I verified the solution. ONo Yes Find the Wronskian and verify that the functions are linearly independent on the interval (0, 0). W(x", x4) = 0 Preview I found the general solution. OYes ONO
here is the solution for the question but i need someone help to understand part b please. ф1(t) 2(t) 0. -1 Figure 7: Set of orthonormal basis functions in Problem 4 The signals si(t) and s2(t) are given by 201 (t) +dy(t) s2(t) h2(t) hi(t) (a) Design and draw the matched filter for the system using the above orthonormal basis functions to minimize the BER Result is in Fig. 8. (b) Design and draw the receiver for the system using...
-3 -2 -1 0 23 4 Given the pecriodc signal (O0 as showninabove, find 1) 2) 3) The period To, the fundamental angular frequency w The harmonic functions of trigonometric Fourier series The values of first 2 none zero an (coefficients of cos term) and bn (coefficients of sin term) 4) The expression of ft)
Problem 1 The complex exponential Fourier Series of a signal over an interval 0 < t S T,-2π/wo is known to be (d) Suppose x(t) is the input to a stable, continuous-time, single-input/single-output LTI system whose impulse response is given by 9sine (wot/4 2 cos (u) Determine the output y(t) for -oo<t<oo. Answer: y(t)-4m 2r(1 +9π (2r(1+9r2) tan 1(3m) cos 9T Problem 1 The complex exponential Fourier Series of a signal over an interval 0
Please show show the steps :) Solve the equation for exact solutions over the interval [0°,360°). 273 sin 20 = -3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is { }. (Type an integer or a decimal. Type your answer in degrees. Do not include the degree symbol in your answer. Use a comma to separate answers as needed.) B. The solution is the empty set.
Solve the equation for exact solutions over the interval [0, 21). -2 cos²x = 3 cOS X+1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Type an exact answer, using a as needed. Type your answer in radians. Use integers or fractions for any numbers in the expe answers as needed.) B. The solution is the empty set.
Solve the equation for exact solutions over the interval [0, 21). -2 sin ?x= 3 sin x + 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Type an exact answer, using a as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The solution is the empty set.
Please show work Required information Consider the initial value problem over the interval from x=0 to 1: dy dir = = (1+23) Vy Consider a step size of 0.25. Solve the given problem using Euler's method. Given, 10) = 1. (Round the final answers to four decimal places.) The solutions are as follows: y 1.6693 0.25 0.5 2.3153 0.75 3.2663 1 4.0000
Please explain the solution and write clearly for nu, ber 25. Thanks. 25. Approximate the following functions f(x) as a linear combination of the first four Legendre polynomials over the interval [-1,1]: Lo(x) = 1, Li(x) = x, L2(x) = x2-1. L3(x) = x3-3x/5. (a) f(x) = X4 (b) f(x) = k (c) f(x) =-1: x < 0, = 1: x 0 Example 8. Approximating e by Legendre Polynomials Let us use the first four Legendre polynomials Lo(x) 1, Li(x)...