
Let y(t) be a solution of y˙=17y(1−y7) such that y(0)=14y(0)=14. Determine limt→∞y(t)limt→∞y(t) without finding y(t) explicitly.
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
Question 6(20 points) The autocorrelation function of a random process is given by R(r)-81 +8e cos2r+4cos6r Find (a) The mean value, &, the mean-square valuc, E[X2), and the variance of the random variable X(t). (b) What discrete frequency components (in H2Z) are present
Let y(t) be a solution of y˙=(1/5)y(1−y/5) such that y(0)=10 . Determine limt→∞y(t) without finding y(t) explicitly. limt→∞y(t) =
3.Given is a population of wolves (W) and rabbits (R). R[t+1] = R[t]+ g*R[t] * (1 – R[t]/K) - sR[t]W[t] W[t+1] = (1-u)W[t] + vR[t]W[t] The carrying capacity of rabbits is 1 million. The growth rate of rabbits is 10% a year and s is equal to 0.00001, v is 0.0000001, and u is equal to 0.01. a. How many wolves and how many rabbits exist in the equilibrium b. Implement the model into Excel with the initial populations of...
Question 2.3. Prove the following: if lim sn = L, and tn = 5n+1, then limt, = L.
Question 1 (2 points) > 9, 2,5 R 2 A 3 T U → 2, 4, 4 0,5,4 P 3 lo B Q 3,0,0 2,2, 2 1, 2, 2 D 2 c 3 Q E 6,3, 2 For player 3, the strategy set S3={ A } Previous Page Next Page
Problem # 3 (20 pts.) A) Given For the circuit IL (t) I() (T Let R-2Ω, L-05H, C = .05F. Also Vo(0) = 0 Volts, and L(0) = 0 Amps B) Determine 1) The transfer function Vc(s)/I(s) 2) The pole-zero map 3) The response Vo(t) if I(t)-6(t)A (impulse response) 4) The response Vc(t) if l(t)u(t)A (step response) 5) The step response plot using MATLAB (optional) Evaluation Criteria Rubric for Problem # 3 Activities Step 1) Step 2 Step 3) Step...
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solve fast
QUESTION 3 6 points Find the value(s) of a € R such that dim(span(A)) = 2 where A = {1+ 2x² + x4,2+x+4x2 +r? +5x*, 1+x+2x² + x + ax"} 0 a=3 0 0 R
find the general solution for 6,7,8
(differential equation)
6. L'(t) = 1 1 -1 r(t) -3 -8 -5 3 2 4 7. :'(t) = 2 0 2 r(t) 4 2 3 1 8. r'(t) = 3 2 -1 2 1 4 -1 (t) Recall: Given two functions f(t) and g(t), which are differentiable on an interval I, • If the Wronskian W(8,9)(to) #0 for some to El, then f and g are linearly independent for all t E I. If...