What is the series solution to ý - ay=0, GY is a constant 00 M(t)=S(-1). "...
Just do part (a) 1. Find a solution of ay ay 022 + c at2 = 0, where c is a constant, that satisfies the conditions: (a (b) y=0 y + 0 y= a sin(2cm) + 2a sin(cr) when r = 0 when t +00 when t = 0.
(1 point) The general solution of the linear system y = - Ay is 0 Wt) = [ [E] O et/6 Determine the constant coefficient matrix A. A =
Use the Laplace transform to solve the given initial-value problem. y'' + gy' s(t – 1), y(0) = 0, y'(0) = 1 y(t) ])+([ ]). 2(t- Need Help? Read It Master It Talk to a Tutor Submit Answer
Consider the harmonic oscillator with friction given by (t)2(t)wr(t) = 0, kis the oscillation constant. We where I cR -> R and B > 0 is the friction constant and w0 m consider the case of weak damping given by w- p2>0. As you have checked in exercise 3 on sheet 1 the general solution to this equation is given by 2(t) — еxp(- Bt) [А. (wt)B sin (wt)] (3) COS where w this is a two-parameter family of solutions....
16. Which of the following is the recurrence relation for the power series solution about x=0 of the given equation? (8 Puan) y"-2xy + 4By = 0 where is a constant 2(-28 2n+2 = (m+2)(n+1)+1 none of these an+2= 2(n+B) an (n+2)(n+3) O an+2 2(-28) (n+2)(n+1) a Ant2 = 2() (7+2)(n+1) co 206-) m+2 (+1+2)(n+1) 2 - (+2)(n+11 an 20+) a 272)n+3) C+!
What is the phase constant for SMH with a(t) given in the figure if the position function x(t) has the form x = Xmcos(wt+Q) and as = 16 m/s2? (note that the answer should be from 0 to 2nt) a (m/s) as Number Units
Find the series' radius of convergence. (x-6) 1) An +2 Σ n=0 00 (x-gn 2) M n=1
Consider the following model on a return series rt=t+ at +0.25at-1, where at riid N(0,02), t = 1, ... ,T. (a) What are the mean function and autocovariance function for this return series? Is this return series {rt} weakly stationary? Justify your answer. (b) Consider first differences of the return series above, that is, consider wt = Vrt=rt – Pt-1. What are the mean function and autocovariance function for this time series? Is this time series {wt} weakly stationary? Justify...
Problem 1 Suppose there is a series of cashflows that lasts n + 1 periods, {at}t , 0 ≤ t ≤ n, and that is growing at constant rate g, i.e. at = (1 + g) ta0, ∀t. The discount rate is fixed at r and assume g < r. Find an expression for the discounted present value of the cashflows at time 0. Formally, find an expression for S = a0 + a1 1+r + ... + an (1+r)...
n+00 1. A series an has the property that lim an = 0. Which of the following is true? n=1 (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (d) There is not enough information to determine whether the series converges or diverges.